51 minimal stick candidate (8 vertices)

-0.096202 1.992394 -0.693338
-0.768206 -1.090977 1.554022
0.767676 -1.091986 -1.554300
0.096905 1.992842 0.693340
-1.428379 0.694587 -0.149287
1.138582 -1.595667 0.802790
-1.138776 -1.595106 -0.802003
1.428410 0.693970 0.148784