If you want extreme distance, you’re better looking at lux than lumens.
To use an extreme example, the Maxtorch Lsword L2K does over 2mcd (3KM) for 3.5hours, this light “only” has 500lm.
If you’re just looking for an “impressive” throws light, then disregard above. The same physics applies to all lights, you’ll want a cool white LED, big head for heat sinking, and big reflector.
Within budget, I also recommend the convoy L21b.