Since the faces of verfs of a polychoron P are the verfs of the cells of P, I went about trying to discover polychora by adding faces to verfs. Here is my results:
Sidpith verf with tet verf (large triangle) replaced with 3 quith verfs.
Gittith verf with tet verf (large triangle) replaced with 3 quith verfs.
Padohi verf with ike verf (large pentagon) replaced with 5 quit gissid verfs.
Gidpithi verf with ike verf (large pentagon) replaced with 5 quit gissid verfs.
Inform me if this actually works.