722 minimal stick candidate (10 vertices)

0.175492 -2.623377 1.179188
0.098788 -1.567660 -2.279686
-1.120200 0.193236 1.995279
1.435319 2.300568 -1.398584
0.517217 2.961504 1.072639
-1.860371 -0.121874 -1.050401

-1.016647 -2.998738 -0.527003
2.114763 1.935071 -0.147425
-2.284793 2.654741 0.169258
1.940388 -2.733466 0.986716