Here's something that uses AR-SAND's lineset angles and dot spacings as a starting point, massaged to leave the batten strips empty and further to look reasonably random. The not-quite-as-randomness of the look is because in order to not "bleed" into the batten strips, everything needs to have offsets that result in vertical alignments. I had to do four or five lines at each angle to do "groups" of dots, because of the limit of 12 specifications per line.

*StuccoBatten16, stucco random dots with 1.5" un-dotted vertical battens @ 16"
37.5, 1.5,0, 1.123,1.46352209, 0,-1.52,0,-1.7,0,-16.94755862
37.5, 5.25,0, 1.123,1.46352209, 0,-1.52,0,-1.7,0,-16.94755862
37.5, 9,0, 1.123,1.46352209, 0,-1.52,0,-1.7,0,-16.94755862
37.5, 12.75,0, 1.123,1.46352209, 0,-1.52,0,-18.64755862
7.5, 1.75,.25, 0.33795196,2.567, 0,-.82,0,-1.37,0,-13.94806337
7.5, 5,0, 0.33795196,2.567, 0,-.82,0,-1.37,0,-13.94806337
7.5, 8.25,-.25, 0.33795196,2.567, 0,-.82,0,-1.37,0,-13.94806337
7.5, 11.5,-.5, 0.33795196,2.567, 0,-.82,0,-1.37,0,-13.94806337
7.5, 14.75,-.75, 0.33795196,2.567, 0,-16.13806337
-32.5, 1.5,.5, -1.0690039,1.678, 0,-.5,0,-1.8,0,-16.62102476
-32.5, 4.75,.25, -1.0690039,1.678, 0,-.5,0,-1.8,0,-16.62102476
-32.5, 8,0, -1.0690039,1.678, 0,-.5,0,-1.8,0,-16.62102476
-32.5, 11.25,-.25, -1.0690039,1.678, 0,-.5,0,-1.8,0,-16.62102476
-32.5, 14.5,-.5, -1.0690039,1.678, 0,-.5,0,-18.42102476
-42.5, 1.15,.75, -2.45393488,2.678, 0,-.25,0,-1.18,0,-20.27146728
-42.5, 4.4,.5, -2.45393488,2.678, 0,-.25,0,-1.18,0,-20.27146728
-42.5, 7.65,.25, -2.45393488,2.678, 0,-.25,0,-1.18,0,-20.27146728
-42.5, 10.9,0, -2.45393488,2.678, 0,-.25,0,-1.18,0,-20.27146728
-42.5, 14.15,-.25, -2.45393488,2.678, 0,-.25,0,-21.45146728
90, .75,0, 0,16
90, -.75,0, 0,16
If you save it in a file by copy/paste, rather than using the attached one, remember to include the blank line at the end.
Kent Cooper, AIA