109 equilateral minimal stick candidate (11 vertices)

1.064702 -4.699896 0.985442
-1.380227 2.389887 -1.799751
-3.930076 -4.232970 1.892949
-1.616004 3.423942 1.763453
1.278483 -3.346960 -1.363341
2.476888 4.534860 -0.699466
-3.326878 -0.959258 -1.061350
0.210277 4.453947 3.648825
-1.444373 -0.776655 -2.173798
5.389919 -3.403689 1.049731
1.277289 2.616793 -2.242695