Hello!
Are you sure that you acctually have a T-3 connection?
A T-3 connection is the fastest Internet connection possible today with a Bandwith of 43Mbits/sec or faster in other words fat as a cow.
Maybe you in reality have a T-1 connection with a bandwith of 10Mbit/sec?.
If you have a T-3 connection I cannot see any reason to why you should not be able to have more connections up even as many as 30.
Yes a trick to fool LimeWire to let you use the maximum connections that you are allowed to have is to type(in the connections field) an outrageous number of connections like 100 but ofcourse LW will not let you have that many connections and will give you a error message telling you that you cannot have that many connections up because it will clog the network but after you have clicked OK then you will see that LW will make new connections and it will now be connected to as many Ultrapeers as it originally said in the conections text field area.I do not know why at start up LW only allows 3 UltraPeers even if you are allowed a higher number in the text field.I am currently connected to 6 UltraPeers.