Looking at that, I'm not sure you need to interlace spokes. It is common not to interlace straight pull spokes.
Looking at your diagram, I'd probably do:
Black spoke #1: (over over over) (no interlacing)
#2 either (over over under) or (over over over, no interlacing).
#3 (over over under)
There were comments a while ago about a practice of doing a woven interlace: (over under over) on a standard 3 cross wheel. I think the conclusion is that too short of crosses, and it actually made a weaker wheel.