52 equilateral minimal stick candidate (8 vertices)

3.677827 -1.572934 -1.976092
-3.677610 1.573104 -1.975919
1.012038 -4.114745 1.131424
1.097413 3.817286 2.168538
-3.681367 -1.564638 -1.324048
3.681115 1.564877 -1.323879
-1.097343 -3.817504 2.168444
-1.012073 4.114554 1.131532