AMC 8 2015 Problem 14

Which of the following integers cannot be written as the sum of four consecutive odd integers? $\textbf{(A)}\text{ 16} \textbf{(B)}\text{ 40} \textbf{(C)}\text{ 72} \textbf{(D)}\text{ 100} \textbf{(E)}\text{ 200}$