AMC 10 2014b Problem 18

A list of $11$ positive integers has a mean of $10$, a median of $9$, and a unique mode of $8$. What is the largest possible value of an integer in the list? $\textbf {(A) } 24 \textbf {(B) } 30 \textbf {(C) } 31 \textbf {(D) } 33 \textbf {(E) } 35$