81 equilateral minimal stick candidate (10 vertices)

2.982011 4.088367 -2.785282
2.329846 -3.341143 0.109034
-1.989146 3.016234 2.329407
-1.344476 -2.635602 -3.295639
1.359581 1.687502 2.868681
1.175050 -5.604053 -0.417529
2.090509 2.311226 0.296820
-3.993287 -2.883327 0.233206
-2.841290 4.811353 -1.628192
0.231201 -1.450557 2.289495