## Step 1: Define the optimization problem
The problem requires maximizing the objective function: 
\[ 1 \times \text{grams of fat} + 1 \times \text{milligrams of vitamin B3} + 8 \times \text{milligrams of vitamin B1} + 7 \times \text{milligrams of vitamin B6} + 1 \times \text{milligrams of calcium} + 2 \times \text{milligrams of vitamin E} + 3 \times \text{milligrams of vitamin B12} + 5 \times \text{milligrams of vitamin B9} \]
subject to various constraints on energy stability index, cognitive performance index, and kidney support index for different vitamins and their combinations.

## Step 2: Import necessary libraries and define variables
We will use the Gurobi library for optimization.

## Step 3: Define the model and variables
```python
import gurobi as gp

# Create a new model
m = gp.Model("optimization_problem")

# Define variables
grams_of_fat = m.addVar(name="grams_of_fat", lb=0)  # Non-integer allowed
vitamin_B3 = m.addVar(name="vitamin_B3", lb=0, type=gp.GRB.INTEGER)  # Whole number
vitamin_B1 = m.addVar(name="vitamin_B1", lb=0, type=gp.GRB.INTEGER)  # Whole number
vitamin_B6 = m.addVar(name="vitamin_B6", lb=0, type=gp.GRB.INTEGER)  # Whole number
calcium = m.addVar(name="calcium", lb=0)  # Non-integer allowed
vitamin_E = m.addVar(name="vitamin_E", lb=0, type=gp.GRB.INTEGER)  # Whole number
vitamin_B12 = m.addVar(name="vitamin_B12", lb=0)  # Non-integer allowed
vitamin_B9 = m.addVar(name="vitamin_B9", lb=0)  # Non-integer allowed
```

## Step 4: Define objective function
```python
# Define objective function
m.setObjective(grams_of_fat + vitamin_B3 + 8 * vitamin_B1 + 7 * vitamin_B6 + calcium + 2 * vitamin_E + 3 * vitamin_B12 + 5 * vitamin_B9, gp.GRB.MAXIMIZE)
```

## Step 5: Add constraints
# Adding constraints for energy stability index, cognitive performance index, and kidney support index
# This step involves translating the given problem description into Gurobi constraints
# Due to the complexity and the number of constraints, we will not list them all out here
# but will directly implement them in the code block.

## Step 6: Implement constraints and solve the model
```python
# Constraints implementation
# r0 constraints
m.addConstr(10 * grams_of_fat + 5 * vitamin_B3 + 6 * vitamin_B1 + 4 * vitamin_B6 + 1 * calcium + 10 * vitamin_E + 7 * vitamin_B12 + 6 * vitamin_B9 <= 238)
m.addConstr(3 * grams_of_fat + 5 * vitamin_B3 + 6 * vitamin_B1 + 3 * vitamin_B6 + 9 * calcium + 1 * vitamin_E + 5 * vitamin_B12 + 9 * vitamin_B9 <= 165)
m.addConstr(7 * grams_of_fat + 3 * vitamin_B3 + 2 * vitamin_B1 + 3 * vitamin_B6 + 2 * calcium + 9 * vitamin_E + 9 * vitamin_B12 + 8 * vitamin_B9 <= 247)

# r1 constraints
# ... (similarly add all other constraints)

# Solve the model
m.optimize()

# Print the solution
if m.status == gp.GRB.OPTIMAL:
    print("Objective: ", m.objVal)
    print("Grams of fat: ", grams_of_fat.varValue)
    print("Milligrams of vitamin B3: ", vitamin_B3.varValue)
    print("Milligrams of vitamin B1: ", vitamin_B1.varValue)
    print("Milligrams of vitamin B6: ", vitamin_B6.varValue)
    print("Milligrams of calcium: ", calcium.varValue)
    print("Milligrams of vitamin E: ", vitamin_E.varValue)
    print("Milligrams of vitamin B12: ", vitamin_B12.varValue)
    print("Milligrams of vitamin B9: ", vitamin_B9.varValue)
else:
    print("The model is infeasible")
```

The final answer is: 
```python
import gurobi as gp

m = gp.Model("optimization_problem")

# Define variables
grams_of_fat = m.addVar(name="grams_of_fat", lb=0)  
vitamin_B3 = m.addVar(name="vitamin_B3", lb=0, type=gp.GRB.INTEGER)  
vitamin_B1 = m.addVar(name="vitamin_B1", lb=0, type=gp.GRB.INTEGER)  
vitamin_B6 = m.addVar(name="vitamin_B6", lb=0, type=gp.GRB.INTEGER)  
calcium = m.addVar(name="calcium", lb=0)  
vitamin_E = m.addVar(name="vitamin_E", lb=0, type=gp.GRB.INTEGER)  
vitamin_B12 = m.addVar(name="vitamin_B12", lb=0)  
vitamin_B9 = m.addVar(name="vitamin_B9", lb=0)  

# Define objective function
m.setObjective(grams_of_fat + vitamin_B3 + 8 * vitamin_B1 + 7 * vitamin_B6 + calcium + 2 * vitamin_E + 3 * vitamin_B12 + 5 * vitamin_B9, gp.GRB.MAXIMIZE)

# r0 constraints
m.addConstr(10 * grams_of_fat + 5 * vitamin_B3 + 6 * vitamin_B1 + 4 * vitamin_B6 + 1 * calcium + 10 * vitamin_E + 7 * vitamin_B12 + 6 * vitamin_B9 <= 238)
m.addConstr(3 * grams_of_fat + 5 * vitamin_B3 + 6 * vitamin_B1 + 3 * vitamin_B6 + 9 * calcium + 1 * vitamin_E + 5 * vitamin_B12 + 9 * vitamin_B9 <= 165)
m.addConstr(7 * grams_of_fat + 3 * vitamin_B3 + 2 * vitamin_B1 + 3 * vitamin_B6 + 2 * calcium + 9 * vitamin_E + 9 * vitamin_B12 + 8 * vitamin_B9 <= 247)

m.addConstr(10 * grams_of_fat <= 238)
m.addConstr(3 * grams_of_fat <= 165)
m.addConstr(7 * grams_of_fat <= 247)
m.addConstr(5 * vitamin_B3 <= 165)
m.addConstr(5 * vitamin_B3 <= 165)
m.addConstr(3 * vitamin_B3 <= 247)
m.addConstr(6 * vitamin_B1 <= 238)
m.addConstr(6 * vitamin_B1 <= 165)
m.addConstr(2 * vitamin_B1 <= 247)
m.addConstr(4 * vitamin_B6 <= 238)
m.addConstr(3 * vitamin_B6 <= 165)
m.addConstr(3 * vitamin_B6 <= 247)
m.addConstr(1 * calcium <= 238)
m.addConstr(9 * calcium <= 165)
m.addConstr(2 * calcium <= 247)
m.addConstr(10 * vitamin_E <= 238)
m.addConstr(1 * vitamin_E <= 165)
m.addConstr(9 * vitamin_E <= 247)
m.addConstr(7 * vitamin_B12 <= 238)
m.addConstr(5 * vitamin_B12 <= 165)
m.addConstr(9 * vitamin_B12 <= 247)
m.addConstr(6 * vitamin_B9 <= 238)
m.addConstr(9 * vitamin_B9 <= 165)
m.addConstr(8 * vitamin_B9 <= 247)

m.addConstr(5 * vitamin_B3 + 6 * vitamin_B1 >= 9)
m.addConstr(1 * calcium + 6 * vitamin_B9 >= 27)
m.addConstr(10 * vitamin_E + 6 * vitamin_B9 >= 14)
m.addConstr(10 * grams_of_fat + 1 * calcium >= 19)
m.addConstr(5 * vitamin_B3 + 6 * vitamin_B9 >= 9)
m.addConstr(4 * vitamin_B6 + 10 * vitamin_E >= 15)
m.addConstr(5 * vitamin_B3 + 1 * vitamin_E >= 12)
m.addConstr(5 * vitamin_B3 + 1 * calcium >= 16)
m.addConstr(6 * vitamin_B1 + 4 * vitamin_B6 >= 22)
m.addConstr(6 * vitamin_B1 + 6 * vitamin_B9 >= 9)
m.addConstr(10 * grams_of_fat + 5 * vitamin_B3 >= 9)
m.addConstr(4 * vitamin_B6 + 1 * calcium >= 26)
m.addConstr(6 * vitamin_B1 + 4 * vitamin_B6 + 7 * vitamin_B12 >= 14)
m.addConstr(10 * grams_of_fat + 5 * vitamin_B3 + 10 * vitamin_E >= 14)
m.addConstr(5 * vitamin_B3 + 6 * vitamin_B1 + 1 * vitamin_E >= 14)
m.addConstr(5 * vitamin_B3 + 6 * vitamin_B1 + 1 * vitamin_E >= 14)
m.addConstr(5 * vitamin_B3 + 6 * vitamin_B1 + 5 * vitamin_B9 >= 14)
m.addConstr(1 * calcium + 1 * vitamin_E + 6 * vitamin_B9 >= 14)
m.addConstr(5 * vitamin_B3 + 7 * vitamin_B12 + 6 * vitamin_B9 >= 14)

# Solve the model
m.optimize()

# Print the solution
if m.status == gp.GRB.OPTIMAL:
    print("Objective: ", m.objVal)
    print("Grams of fat: ", grams_of_fat.varValue)
    print("Milligrams of vitamin B3: ", vitamin_B3.varValue)
    print("Milligrams of vitamin B1: ", vitamin_B1.varValue)
    print("Milligrams of vitamin B6: ", vitamin_B6.varValue)
    print("Milligrams of calcium: ", calcium.varValue)
    print("Milligrams of vitamin E: ", vitamin_E.varValue)
    print("Milligrams of vitamin B12: ", vitamin_B12.varValue)
    print("Milligrams of vitamin B9: ", vitamin_B9.varValue)
else:
    print("The model is infeasible")
```