725 minimal stick candidate (11 vertices)

0.425174 2.438542 -1.068675
1.429491 -0.675232 1.335073
0.384081 -2.449763 -0.795464
-2.462440 0.803862 1.071563

0.822138 2.333794 0.590609
-1.719091 -1.120172 -0.770652
-0.448905 -2.230605 0.817901
1.372290 0.113428 -1.385063
-0.489913 0.871974 1.231621
-1.558339 0.402911 -1.276801
2.245517 -0.488787 0.249919