The range is over 5y, I've been bound by a ninja and hit stun gun while he was casting and it didn't even do damage meaning he was out further than 5y
also I am like 95% sure you can't silence a limit break as it counts as an skill and not a spell
Edited this post like 3 times now,
http://xivdb.com/?skill/3360/Raw-Destruction
the range is 8y, lol.