Max Heat is an American pornographic magazine, as well as a series of films. The franchise could be named after the male porn actor Max Heat who is known to star at least in the film Max Heat 7.
Magazine
Many Max Heat porn magazines can be found in 2001 in Lupino's Hotel/bordello.
Film
In 2003, a porn film Max Heat 7 airs on TV. It stars the titular male porn star opposite Lora Norder. The "7" in the title could signify that it already is the seventh film in the series.
Behind the scenes
For a while, Remedy Entertainment considered the title "Max Heat" for their new third person shooter videogame which eventually ended up being Max Payne.