1065 equilateral minimal stick candidate (12 vertices)

1.148116 -4.354572 0.803309
-3.372400 1.759081 -1.684297
3.717000 -0.360576 1.356668
-3.849046 -2.725266 0.278155
1.785840 1.875788 -3.050262
-2.327559 2.002901 3.810044
2.905924 -2.903778 0.269540
0.874883 4.578215 2.243029
-0.322042 -3.233496 1.000232
0.502101 3.831631 -2.661021
-1.103900 -4.001238 -2.402306
0.041083 3.531308 0.036909