AMC 12 2024a Problem 24

A $\textit{disphenoid}$ is a tetrahedron whose triangular faces are congruent to one another. What is the least total surface area of a disphenoid whose faces are scalene triangles with integer side lengths?

$\textbf{(A) }\sqrt{3} \textbf{(B) }3\sqrt{15} \textbf{(C) }15 \textbf{(D) }15\sqrt{7} \textbf{(E) }24\sqrt{6}$