What is the vintage of your K-22 and -38? Are they labeled as Model 17 and 14 or not? If you want an exact match, that would be a consideration. The rarest of the post-War variants were the earliest target models with narrow ribs and a knob on the ejector rod (the infamous “LERK”) and I’m not even sure there was a K-32 LERK. Then came narrow rib, tapered barrel variants, heavier barreled, wide rib variants (with weights carefully matched on all three) both without and later with the model number stamped in the yoke area.
The latest Model 16 was the -4 with its full underlug barrel. There is a fairly uncommon Model 14 in this same configuration and IIRC they even made a Model 17 the same... these would have been much later than the ones you describe with “diamond” grips.
Without any further information, I’d guess you’re needing a pre- Model 16 or a 16-1 or -2 to be early enough to have the grips you’re looking for, unless yours are old enough to have the narrow ribs and tapered barrels, which are even earlier. More details needed, please.
Froggie