A white (often pale) member, that is covered with multiple forms of sexually transmitted diseases, thus giving it the look of a block of pepper jack cheese. Especially common in uncircumcised members of the male population who are known to have higher rates of sexual diseases, and if unwashed can accumulate a cheesy residue.
"Have you seen Willy's junk? It's totally a pepper jack penis"
by Richard Queso November 27, 2012