AHSME 1973 Problem 3

The stronger Goldbach conjecture states that any even integer greater than 7 can be written as the sum of two different prime numbers. For such representations of the even number 126, the largest possible difference between the two primes is $\textbf{(A)}\ 112 \textbf{(B)}\ 100 \textbf{(C)}\ 92 \textbf{(D)}\ 88 \textbf{(E)}\ 80$