Hi, RobiNew! Try replacing your Cset with:
Cset:="[ .,:;]"

Besides, although I didn't check it, I don't think the following line is needed, because we work with range: Rng.MoveStartUntil ("http")

Another point to consider: if a hyperlink is followed by any number of chars other than space, these chars will be included into the hyperlink,
which may result in wrong addressing, so I think adding puctuation marks to Cset is not needed.