This first time in human study is intended for men and women at least 18 years of age who have advanced lung cancer which has grown or returned after being treated. In particular, it is a study for subjects who have a blood test positive for HLA-A*02:01 and/or HLA-A*02:06 and a tumor test positive for MAGE A10 protein expression (protein or gene). The study will take the subject's T cells, which are a natural type of immune cell in the blood, and send them to a laboratory to be modified. The changed T cells used in this study will be the subject's own T cells that have been genetically changed with the aim of attacking and destroying cancer cells.