1026 minimal stick candidate (12 vertices)

1.723413 -1.002720 -2.203205
1.743105 1.239922 1.172913
0.670310 2.287700 -0.696089
0.032842 -3.044024 0.802890
-0.670633 -1.247961 -2.257157
-2.673357 2.220989 1.570062
3.756579 0.515449 -0.826697
-2.105413 -2.600157 0.071987
-0.952948 2.986152 0.478681
0.600686 1.062998 1.624415
-2.544055 0.322350 -2.532036
0.419542 -2.740711 2.794262