Genetically Modified Peripheral Blood Stem Cell Transplant in Treating Patients With HIV-Associated Non-Hodgkin or Hodgkin Lymphoma

PRIMARY OBJECTIVES: I. To determine the safety and feasibility of infusing gene-modified, human immunodeficiency virus (HIV)-protected hematopoietic stem cells (HSC) after high-dose chemotherapy for treatment of acquired immunodeficiency syndrome (AIDS)-related lymphoma. II. To determine the dose of carmustine (BCNU) in combination with O\^6-benzylguanine (O6BG) that results in selection in vivo of gene-modified HIV-resistant cells. III. To estimate the effect of HIV infection on the presence of HIV-resistant blood cells as measured by genetic marking for vector sequences before and after antiviral treatment interruption. SECONDARY OBJECTIVES: I. Evaluate the molecular and clonal composition of gene-modified cells after hematopoietic cell transplant (HCT). II. Evaluate the molecular and clonal composition of gene-modified cells after O6BG/BCNU. III. Determine the correlation of the level of O6-methylguanine- methyltransferase (MGMT) (P140K) marking with toxicity and response. IV. Characterize the toxicity associated with in vivo selection. V. Determine the efficacy of the procedure for treatment of lymphoma: defined as time to disease progression, progression-free survival, treatment-related mortality, time to neutrophil and platelet recovery, and incidence of infections. TERTIARY OBJECTIVES: I. Effect of procedure on the latent HIV reservoir. II. Effect of procedure on HIV-specific immune reconstitution. OUTLINE: CONDITIONING: Patients receive carmustine intravenously (IV) over 3 hours on day -7, cytarabine IV over 2 hours twice daily (BID) and etoposide IV over 2 hours BID on days -6 to -3, and melphalan IV over 30 minutes on day -2. TRANSPLANTATION: Patients receive an autologous PBSC infusion and/or infusion of autologous transduced hematopoietic cells on day 0. Beginning 28-120 days later, patients eligible for in vivo selection after detection of gene-marked cells receive O6-benzylguanine IV over 1 hour and carmustine IV over 3 hours on days 14, 28, and then monthly until completion of therapy. Patients achieving \> 10% gene marking and CD4 count of \>= 500 cells/uL receive up to 2 courses of structured treatment interruption without undergoing in vivo selection. After completion of study treatment, patients are followed up periodically for 15 years.