73 equilateral minimal stick candidate (9 vertices)

4.317623 1.707532 -2.163643
-0.466880 -1.523904 3.374078
-0.805267 4.410762 -1.979913
-2.361556 -3.215743 -0.132108
2.364973 3.013893 1.556548
2.904203 -4.897294 0.497135
-0.977614 1.921368 2.058335
-1.590341 -4.428571 -2.768967
-3.385142 3.011955 -0.441465