Zip Code 60141 - Hines, IL. 60141 is located in the state of Illinois in the Chicago metro area. Zip code 60141 is primarily located in Cook County. The official postal service name used for 60141 is HINES, Illinois.ip Code 60141 Public Schools. 60141 is located in the state of Illinois in the Chicago metro area. Zip code 60141 is primarily located in Cook County. The official postal service name used for 60141 is HINES, Illinois.