The 'SEP Class' means Non-High Performance, Single Pilot, SEPs. Any other SEP (which is not a TMG) would need a Type (or possibly an HP Class) Rating
Funny, twelve or so years ago, when The CAA took away my Group A and B Ratings, and replaced them with JAA SEP, and MEP Class Ratings, and I complained bitterly about the privileges I lost in the process, they they said that in exchange for losing all my turbine privileges, I could now fly any piston engine aircraft, of any size I wanted!
...and being below 5700kg MTOW,
No weight limit now since JAA, BB
MJ