This is a two-site study at the University of Pennsylvania and University of Maryland to recruit a total of fifty-six study patients. The key eligibility criteria are patients who have systemic or multifocal myeloma requiring autologous stem cell transplantation. After enrollment, patients will be divided into two arms (A and B) according to their HLA A2 status (A = HLA A2 +, B = HLA A2-). Patients in ARM A will be initially immunized with the hTERT vaccine along with a pneumococcal conjugate vaccine (PCV); patients in ARM B will be initially immunized and given boosters of PCV only. All patients will undergo T-cell harvest, stem cell mobilization and collection, high-dose chemotherapy, autologous stem cell transplant (ASCT), and an infusion of expanded T cells at day 2 after ASCT. Patients in ARM A will then receive three hTERT/PCV vaccine boosters at day 14, 42, and 90 after ASCT.