After much searching Tammy found a pot rack that works in our kitchen. It was a bit of a bear to mount but it looks nice and seems very functional. I can tell you that the studs in that wall are not 16 inches on center.

I’ve struggled with the kitchen in our new house. I think this is going to make it much more pleasant to cook in.

Stainless steel wall-mounted pot rack holding pans above a gas stove, with a knife block, red kettle, and aprons nearby.