That's exactly the size I have on my 2005 Exploder, and they fit. I read somewhere that the limit is 265/70/16 somewhere on this site, I think.
The larger tires have a lot more load range than you need, so you have to let the pressure down a bit to get them to wear out correctly.
Then comes the Tire Pressure Monitoring System to tell you your tires are flat every time you start the engine. I just love all these extra computers. Right now, one of them is telling me to change the oil every 1200 miles.