To determine the efficacy and safety of HIPEC and systemic chemotherapy combined with sintilimab in the first-line treatment of advanced gastric cancer with peritoneal metastasis, patients will receive SOX regimen chemotherapy combined with sintilimab, once every three weeks. In the first cycle, HIPEC will be administrated, and HIPEC or intraperitoneal chemotherapy will be administrated in the second to third cycles according to the patient's condition. Then, another 3-cycle SOX regimen of systemic chemotherapy will be administrated. After the end of 6 cycles, patients will receive maintain treatment with a combination of S-1 and sintilimab until disease progression or intolerable toxicity.