pattern - Another Company of Thirteen

These thirteen English words share a hidden property:

GULLS, FUSION, BOMB, MILLS, DON, FUR, CHAIN, MOCHA, HYMN, WOLFS, MUNCH, PINY, WITS

The list is not complete; there are other words with the same property, but most English words don't fit the pattern. Can you name two other words of at least three letters with the same property?

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This puzzle was inspired by Moghwyn's puzzle A Company of Thirteen.

Note: The solution to this puzzle is not related to that solution. The only similarity is that they both contain a group of thirteen words.

Answer

Possible other words include:

AILS, ALUM, BOG, BOY, BUFF, BULLS, BUM, DUG, FILLS, FIN, GOLEM, LION, MIX, SUE, SYNC, WILY, WOMBS

as well as many other more obscure ones.

The property that all of the words have is that

if you increment each letter by 6 (so A→G and Y→E) the resulting string is also an English word. This is also known as a Caesar cipher.