The Coleman Kerosene lantern is their brightest lantern. It is a single-mantle pressurized lantern, very similar in design to
the usual "Coleman lantern", and uses mantles, not wicks. It's not like a Dietz lantern, or a kerosene lamp.
ETA: Link to Coleman Kerosene lantern
I have both types of Coleman lanterns (and a Dietz kerosene, too), and use both regularly (the Dietz only rarely), but the Coleman
Kerosene is by far brighter––it's at least as bright as two 2-mantle regular lanterns. The operation is slightly different, in that the
kero requires priming via alcohol in a priming cup surrounding the generator, which pre-heats it prior to ignition. It has the typical
Coleman pump to pressurize the tank.
Kerosene is cheaper than Coleman fuel/white gas, but getting a little harder to find (not as many gas stations still have kerosene
pumps).
The Petromax is supposedly brighter than even the Coleman Kero, but I don't have any direct experience with it. It's also about
3 times the price.
David