2001 Pascal Problem 23

Five points are located on a line. When the ten distances between pairs of points are listed from smallest to largest, the list reads: 2, 4, 5, 7, 8, k, 13, 15, 17, 19. What is the value of k?

\textbf{(A)}\ 11\quad \textbf{(B)}\ 9\quad \textbf{(C)}\ 13\quad \textbf{(D)}\ 10\quad \textbf{(E)}\ 12

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.