OUTLINE: Patients are assigned to 1 of 4 treatment groups for peripheral blood stem cell stimulation (priming) and for therapy after stem cell transplantation. All patients receive priming therapy with filgrastim (G-CSF) alone or with interleukin-2 (IL-2), then have stem cells harvested. Patients with adequate harvest receive high dose cyclophosphamide, thiotepa, and carboplatin (STAMP V) followed by stem cell rescue with subsequent G-CSF with or without IL-2, as follows: Arm I receives G-CSF alone for priming and following stem cell transplant. Arm II receives G-CSF priming alone and G-CSF/IL-2 following transplant. Arm III receives various doses of G-CSF/IL-2 priming and G-CSF following transplant. Arm IV receives various levels of G-CSF/IL-2 priming and fixed doses of G-CSF/IL-2 following transplant. Cohorts of 3-6 patients each are treated on each treatment arm and at escalating doses of IL-2. The maximum tolerated dose is defined as the dose at which less than 2 of 6 patients experience dose limiting toxicity. Patients are followed for disease progression and survival.