Isn't this the wrong question? We'd want to know what proportion of ten-state two-symbol machines with blank tapes turned out to be gods.

One short god will suffice if laws of physics require substantially larger program. And for all we know they do.

edit: Also, there's only what, 20^10 = about 10 trillion possible ten state two symbol machines? Maybe 9 old British billions after you eliminate non-universal machines. That's less than the data in physical constants we haven't derived.