77 equilateral minimal stick candidate (9 vertices)

2.370345 3.860088 0.964570
-1.213991 -1.570019 -3.690156
-2.053729 -0.593204 4.205455
1.087831 3.071160 -2.174438
2.478398 -4.098498 1.090885
-3.931328 -0.902194 -2.472688
3.899315 -0.198904 -0.994036
-2.307097 4.089369 1.668889
-0.329743 -3.657797 1.401519