31 equilateral minimal stick candidate (6 vertices)

-2.923636 -3.335546 2.361151
3.657689 -1.619167 -1.850761
-3.657604 1.619117 -1.850602
2.923775 3.335535 2.361210
0.987982 -3.876008 -0.510436
-0.988206 3.876068 -0.510562