Quite possibly - I certainly don't know of any with more species. It's worth bringing the binoculars if you want to spot them all and tell them apart though!
I've not seen many individuals of each species, I would say, in most cases, they have only a pair of each species. Maguari is right, binoculars are very helpful for the Tierpark. They have some at the Vulture Aviary, but you have to pay to use them.