Don’t worry, nearly all of these lights actually run pretty cool. That’s because the listed lumens are shy and on any occasion 97% doesn’t show up.

OK, there are quite a few lights with real 10k+ lumens. In general these tend to be very large and despite the size they have a thermal stepdown after they overheat. I think there are lights that actually sustain 10k+, but only actively cooled. Not sure, these huge lights are not my stuff.

Don’t concentrate on lumens too much. What kind of light do you actually need? How do you intend to use it?