Heavy Parabeetles are larger versions of Parabeetles. They appear in New Super Mario Bros. Wii worlds 6 and 7, and are about three times the size of a standard Parabeetle. However, they're not as strong, and will collapse if you jump on top of them.
Just like the standard Parabeetle, these can only be defeated by charging into it with a Starman. They'll only hurt the player if he runs into its face.