71 equilateral minimal stick candidate (9 vertices)

-2.719303 -4.359176 -3.475060
-2.646266 1.810550 1.617007
2.855679 -3.459340 -0.823659
0.715954 3.935423 1.353277
-0.715776 -3.935419 1.353365
-2.855778 3.459334 -0.823335
2.646444 -1.810563 1.616695
2.718885 4.359223 -3.475308
0.000161 -0.000033 2.657018