1023 equilateral minimal stick candidate (12 vertices)

2.983087 0.894007 -3.081759
-2.854172 -0.022917 2.311352
3.774311 -4.336093 3.519542
-1.785196 -2.924446 -2.057118
-5.438423 3.831913 0.180192
1.527918 -0.034862 -0.539628
3.116553 7.805800 -0.555247
1.588066 0.230134 -2.622370
0.173157 1.151112 5.197466
0.872927 -4.783561 -0.121366
-1.323099 2.909114 -0.106554
-2.635129 -4.720200 -2.124509