I just restrung my reasonably new Mayones Regius 7 string, for the first time, with Dunlop Heavy Core strings (.010-.060) and the extra tension without the increased the gauge feels great. No need to file the nut or anything, yet the lower strings feel far tighter. Haven't tried it amplified yet.
The strings also feel nice and smooth, which is a plus.
One nuisance is that the extra tension on the neck has caused a bit of a bow/raised the action a bit so the playabilty is isn't what it was. Not that bad, though. A 1/4 turn of the truss rod should do the job and compensate for the change/get it back to normal.
If you don't mind the hassle, though, the they feel great.