1023 minimal stick candidate (12 vertices)

1.445123 -6.881397 0.045378
0.181616 4.947771 1.120353
1.468496 3.320531 3.352013
-3.922992 -0.439080 -2.036384
-2.781374 1.654465 -2.340622
4.088615 -1.824282 1.692514
0.420951 -4.539439 -1.959504
0.798399 -5.177470 2.053157
5.630282 5.481299 -3.494989
-2.195305 2.327073 5.245437
1.158656 0.256708 -2.599853
-6.292380 0.873683 -1.077696