2. Patients must have a diagnosis of relapsed or refractory classical Hodgkin lymphoma OR anaplastic large cell lymphoma OR non-ALCL peripheral T-cell lymphoma with a pre-enrollment tumor biopsy positive for CD30 by immunohistochemistry at >/= 1%. All patients must be refractory to or not eligible for available therapies expected to provide clinical benefit with the exception that if a patient would meet National Comprehensive Cancer Center Network (NCCN) guidelines for consideration of treatment with brentuximab vedotin monotherapy then that patient can be enrolled to this trial as this is a combination trial of brentuximab vedotin plus TAK228.