71 minimal stick candidate (9 vertices)

0.912995 -2.465768 -1.314305
-0.976310 -3.318735 0.420773
1.444129 2.508489 -1.085920
-2.219356 2.078376 0.702987
2.219930 -2.078489 0.701950
-1.445110 -2.508707 -1.085402
0.976470 3.319140 0.420151
-0.913250 2.465240 -1.314720
0.000495 0.000514 2.554435