1026 equilateral minimal stick candidate (12 vertices)

0.604006 -2.390266 3.064589
4.299694 3.601309 -0.735794
0.832654 -3.587550 -0.188137
-3.426052 3.160130 0.388262
-1.531184 -4.114620 3.124591
-0.893749 -0.223909 -3.836447
3.656074 -0.052656 2.741530
-3.843045 0.674203 0.051757
2.130561 -1.748988 -4.685772
1.994428 3.378045 1.453854
-1.327272 -3.164611 -1.733616
-2.496116 4.468915 0.355184