51 equilateral minimal stick candidate (8 vertices)

-1.723967 -2.495240 4.023568
3.701360 -1.506453 -1.771958
-3.709282 1.507204 -1.755674
1.742047 2.494771 4.015610
1.485921 -4.525681 0.188385
2.724655 2.923346 -2.453117
-2.735931 -2.923181 -2.442099
-1.484803 4.525234 0.195285