AHSME 1995 Problem 25

A list of five positive integers has mean $12$ and range $18$. The mode and median are both $8$. How many different values are possible for the second largest element of the list? $\mathrm{(A) \ 4 } \mathrm{(B) \ 6 } \mathrm{(C) \ 8 } \mathrm{(D) \ 10 } \mathrm{(E) \ 12 }$