61 minimal stick candidate (8 vertices)

0.849915 1.836051 2.045385
0.800112 0.149695 -2.589179
-0.079677 -2.200056 1.372581
-1.579603 -2.196170 -0.583244
2.638434 2.321607 0.501689
-3.906549 0.572767 0.610193
2.001628 -3.508337 -0.147389
-0.724153 3.024477 -1.210029