jeppson's Identifications

About 5 and a half to 6 in
On a pinecone, unsure which species as there was a mix of pine, conifers, and other trees in the area
Found in a wet mossy area
Off white outside
White mycelium or alike structure at base
White puffy inside, no sign of gill structure visible
Very small bumps on outside, dry
Maybe a bit of an unusual pestle puffball? Unsure though