Bizarro Mystery Device Bonus

Winston Bizarro incorrectly assembled his mystery device with 12 inner arms instead of 4! The # of beads per arm is also different from the standard mystery devices we used in class.
What is the highest # you can build on Winston's device assuming that you can't flip out the arms and that you have to build every number between 1 and the highest number?

This bonus question is not on a first-come, first-receive-bonus-point basis. Your solution is due on Monday.

DO NOT post the answer on this (or any other) site.