AMC 12A 2018 Problem 6

For positive integers m and n such that m+10<n+1, both the mean and the median of the set \{m, m+4, m+10, n+1, n+2,2 n\} are equal to n. What is m+n ?

Answer Choices
A. 20
B. 21
C. 22
D. 23
E. 24