Let A B C D be a tetrahedron with A B=41, A C=7, A D=18, B C=36, B D=27, and C D=13, as shown in the figure. Let d be the distance between the midpoints of edges \overline{A B} and \overline{C D}. Find d^{2}.

Let A B C D be a tetrahedron with A B=41, A C=7, A D=18, B C=36, B D=27, and C D=13, as shown in the figure. Let d be the distance between the midpoints of edges \overline{A B} and \overline{C D}. Find d^{2}.