Administering Peripheral Blood Lymphocytes Transduced With a Murine T-Cell Receptor Recognizing the G12V Variant of Mutated RAS in HLA-A*11:01 Patients

Background: A new cancer therapy involves taking white blood cells from a person, growing them in the lab, genetically modifying them, then giving them back to the person. This therapy is called gene transfer using anti-KRAS G12V mTCR cells. Objective: To see if anti-KRAS G12 V mTCR cells are safe and can shrink tumors. Eligibility: Adults at least 18 years old with cancer that has the KRAS G12V molecule on the surface of tumors. Design: In another protocol, participants will: Be screened Have cells harvested and grown Have leukapheresis In this protocol, participants will have the procedures below. Participants will be admitted to the hospital. Over 5 days, participants will get 2 chemotherapy medicines as an infusion via catheter in the upper chest. A few days later, participants will get the anti-KRAS G12V mTCR cells via catheter. For up to 3 days, participants will get a drug to make the cells active. A day after getting the cells, participants will get a drug to increase their white blood cell count. This will be a shot or injection under the skin. Participants will recover in the hospital for 1-2 weeks. They will have lab and blood tests. Participants will take an antibiotic for at least 6 months. Participants will have visits every few months for 2 years, and then as determined by their doctor. Visits will be 1-2 days. They will include lab tests, imaging studies, and physical exam. Some visits may include leukapheresis or blood drawn. Participants will have blood collected over several years. Background: * We generated an HLA-A\*11:01-restricted murine T-cell receptor (mTCR) that specifically recognizes the G12V-mutated variant of KRAS (and other RAS family genes), expressed by many human cancers and constructed a single retroviral vector that contains alpha and beta chains that confer recognition of this antigen when transduced into PBL. * In co-cultures with HLA-A\*11:01+ target cells expressing this mutated oncogene, mTCR transduced T cells lyse target cells and secrete IFN-gamma with high specificity. Objectives: Primary objectives: * Phase I: Determine the safety of administering PBL transduced with anti-KRAS G12V mTCR in concert with preparative lymphodepletion and high-dose interleukin-2 (IL-2; aldesleukin). * Phase II: Determine if anti-KRAS G12V mTCR-transduced PBL can mediate the regression of tumors harboring the RAS G12V mutation. Eligibility: Patients must be/have: * Age greater than or equal to 18 years and less than or equal to 72 years * HLA-A\*11:01 positive * Metastatic or unresectable RAS G12V-expressing cancer which has progressed after standard therapy (if available). Patients may not have: -Allergies or hypersensitivities to high-dose aldesleukin, cyclophosphamide or fludarabine. Design: * This is a Phase I/II, single center study of PBL transduced with anti-KRAS G12V mTCR in HLA-A\*11:01 positive patients with advanced solid tumors expressing G12V mutated RAS. * PBMC obtained by leukapheresis will be cultured in the presence of anti-CD3 (OKT3) and aldesleukin in order to stimulate T-cell growth. * Transduction is initiated by exposure of these cells to retroviral vector supernatant containing replication-incompetent virus encoding the anti-KRAS G12V mTCR. * All patients will receive a non-myeloablative, lymphodepleting preparative regimen of cyclophosphamide and fludarabine. * On day 0, patients will receive their PBL transduced with the anti-KRAS G12V mTCR and will then begin high-dose aldesleukin. * A complete evaluation of lesions will be conducted approximately 6 weeks (+/- 2 weeks) after treatment. * The study will be conducted using a phase I/II Simon minimax design, with two separate cohorts for the Phase II component: Cohort 2a, patients with RAS G12V pancreatic cancer, and Cohort 2b, patients with RAS G12V non-pancreatic cancer. -A total of up to 110 patients may be required; approximately 24 patients in the phase I portion of the study and 86 (41, plus an allowance of up to 2 non-evaluable per phase II cohort) patients in the phase II portion of the study.