Key Inclusion Criteria:  Adults age > or equal to18 at the time the Informed Consent is signed. Refractory or relapsed pathologically confirmed Peripheral T Cell Lymphoma (PTCL): Peripheral T cell Lymphoma not otherwise specified (PTCL-NOS) , Angioimmunoblastic T cell Lymphoma (AITL), ALK-negative anaplastic large cell lymphoma (ALCL), or ALK-positive ALCL CD5-expressing tumor by IHC or flow cytometry of tumor biopsy within 3 months of Screening or at Screening Eastern Cooperative Oncology Group performance status < 2. Adequate organ function as defined in the protocol  Key Exclusion Criteria:  Known central nervous system involvement by PTCL. History of allogeneic transplant. History of intolerance to leukapheresis, plasmapheresis, or blood donation. Pregnant or nursing women. Any acute illness including fever (> 100.4°F or > 38°C) Active systemic bacterial, fungal, or viral infection Active chronic infection Other primary malignancies, except adequately treated malignancies or complete remission. Active or history of autoimmune disease or immunodeficiency. History of severe, immediate hypersensitivity reaction attributed to penicillin. Any other condition that, in the opinion of the Investigator, would make the subject unsuitable for the study or unable to comply with the study requirements.