AMC 8 2014 Problem 16

The "Middle School Eight" basketball conference has $8$ teams. Every season, each team plays every other conference team twice (home and away), and each team also plays $4$ games against non-conference opponents. What is the total number of games in a season involving the "Middle School Eight" teams? $\textbf{(A) }60 \textbf{(B) }88 \textbf{(C) }96 \textbf{(D) }144 \textbf{(E) }160$