87 minimal stick candidate (10 vertices)

0.249648 1.344319 1.731582
-0.523807 3.467055 0.218463
0.866205 -1.205762 -2.118060
0.842994 -2.084689 2.063241
-1.026360 -3.814667 -0.945816
1.465923 2.717265 1.484686
-2.632207 1.359793 -1.385678
3.285898 -2.352406 -0.522339
-3.016090 -2.116205 1.439516
0.487897 2.685294 -1.965599