This may give you an idea of the problem. This one is for five 3 watt LEDs and it's a foot long.
https://www.amazon.com/Aluminum-Hea...UTF8&qid=1376101974&sr=8-34&keywords=heatsink
https://www.amazon.com/Aluminum-Hea...UTF8&qid=1376101974&sr=8-34&keywords=heatsink