You will need the specification, but a tape measure would be rather inaccurate for this purpose. There are some online calculators for this purpose once you have the hub size details, but I don't know if they will go far enough to get down to the 16" size so it might have to be the tape. With such a small rim there wouldn't be many build pattern options.
This is the web page for the British made short length spokes that SJS stock and you'll see the shortest is 120 mm, going up in 2 mm steps. From photos of the Dapush I've seen I guess that would be ok, but if not, it would have to be special lengths.