AMC 12 2018b Problem 10

A list of $2018$ positive integers has a unique mode, which occurs exactly $10$ times. What is the least number of distinct values that can occur in the list?

$\textbf{(A) }202 \textbf{(B) }223 \textbf{(C) }224 \textbf{(D) }225 \textbf{(E) }234$