Using D1.6-2007 Structural Stainless Steel, Table 4.3, this is what I can come up with quickly,
12ga (0.109" or 7/64") would qualify Min 16ga (0.0625" or 1/16") to Max 5ga (0.218" or 7/32")
14ga (0.078" or 5/64") would qualify Min 16ga (0.0625" or 1/16") to Max 9ga (0.156" or 5/32")
To fully cover the spectrum (minus the 18ga), I would change the 12ga to 11ga.
11ga (0.125" or 1/8") would qualify Min 16ga (0.0625" or 1/16") to Max 3ga (0.250" or 1/4")
As D1.6 only covers down to 16ga, you would probably need to use D1.3 in conjunction with D1.6
* All decimal conversions approximate based on 15 US Code 206 (https://www.law.cornell.edu/uscode/text/15/206)