Sure, I can help you create a test case generator for the given problem statement on Goldbach's Conjecture. Here’s a Python function that generates test cases for this problem:

```python
import random

def is_prime(n):
    if n <= 1:
        return False
    if n <= 3:
        return True
    if n % 2 == 0 or n % 3 == 0:
        return False
    i = 5
    while i * i <= n:
        if n % i == 0 or n % (i + 2) == 0:
            return False
        i += 6
    return True

def generate_even_number():
    return random.choice([i for i in range(4, 215, 2)])

def generate_test_case():
    num_cases = random.randint(1, 10)  # Generate between 1 and 10 cases
    test_cases = [generate_even_number() for _ in range(num_cases)]
    test_cases.append(0)  # Indicate the end of input with 0
    return test_cases

def main():
    test_cases = generate_test_case()
    for case in test_cases:
        print(case)

if __name__ == "__main__":
    main()
```

### Explanation:

1. **`is_prime(n)`**: A helper function to check if a number `n` is prime.
2. **`generate_even_number()`**: This function generates a random even number between 4 and 214.
3. **`generate_test_case()`**: This function generates a list of random even numbers (test cases) and appends `0` at the end to indicate the end of input.
4. **`main()`**: This function prints out the generated test cases.

This will generate random test cases for the problem where each line is an even number between 4 and 214, and the sequence is terminated by `0`.

You can run this script to generate different sets of test cases for your problem.