76 equilateral minimal stick candidate (9 vertices)

0.259212 -2.773599 -2.767896
-3.295761 3.843079 -0.014400
-2.847375 -4.123144 -0.595989
2.009578 1.933292 -2.527200
-0.679128 -0.121254 4.721916
5.096547 0.949371 -0.709044
-2.756435 0.765656 -2.224599
1.678894 -4.192306 2.219101
0.534468 3.718905 1.898111