PURPOSE: This early phase trial is studying the feasibility and side effects of intravenous infusions of CTL generated in the laboratory. To produce the CTL, the study participant's own immune cells are collected by a procedure called a leukapheresis. The cells then undergo laboratory processing for three weeks. Part of this processing includes mixing the patients immune cells with a new kind of cell that has some extra genes added to it. These extra genes are to "teach" the participant's own immune cells to become anti-tumor CTL that can attack the melanoma.