```python
import numpy as np
from simsopt import A_and_dA_vjp, test_curves_and_surface, relax_and_split, A, OneOf, OneOfTest, test_get_and_write_nml, B_and_dB_vjp, A_vjp, _A_impl, coil_optimization, test_biotsavart_gradient_symmetric_and_divergence_free, subtest_biotsavart_gradient_symmetric_and_divergence_free, test_independent_of_scaling, test_independent_of_quadpoints, test_out_of_bounds, test_independent_of_resolution, OneOfTstComposite, OneOfIntsComposite, create_multifilament_grid
from scipy.optimize import minimize

# Define objective function
def objective_function(x):
    # Define objective function as a combination of squared flux, curve length penalty, and coil-to-coil distance penalty
    return squared_flux(x) + curve_length_penalty(x) + coil_to_coil_distance_penalty(x)

# Define optimization parameters
x0 = np.random.rand(10)  # Initial guess for coil parameters
bounds = [(0, 1) for _ in range(10)]  # Bounds for coil parameters

# Run optimization using L-BFGS-B method
result = minimize(objective_function, x0, method='L-BFGS-B', bounds=bounds)

# Save output in VTK format
# Code to save output in VTK format
```