Just look at the tire manufacturer's recommended specifications for the tires you want to run. That chart doesn't list the profile series, so it can't be that accurate. What tire fits on what rim is very dependent on how tall the sidewalls are, the taller the sidewall is the wider the tire can be for a given rim width.
This is for BFG T/A's, according to BFG with the T/A's you could run a 255/60/15 on a 7" wide rim. That may not be true for all tire brands/models, but it would still be in spec for the BFG T/A's. A 245/60/15 would be fine, although a 15x7" is the narrowest rim recommended for those.