Assuming this list
is up-to-date it looks like Time Warner doesn't support IPV6 yet. As well as the ISP your router would need to support it.
The alternative, as I said before, is to use a tunnel. Other than for experimentation there's not a lot of reasons to do that (unless you need to connect to a v6 only website). Of course we'll all have to do it some time, but I don't think that time has yet arrived.