I gave you a link to alternative ports! Just experiment around. Remember with the newest version you have 2 main options: UPnP & manual port forward. Try both.

Do this simple test for us. Using your browser go here: http://www3.limewire.com:6346/ The page should say ‘Test Page was a Success’. What happens when you go there?

Did you try some Fixes for Limewire Try them one by one.