01069 -- U.S. ZIP code Municipality (1990): PALMER, Massachusetts All ZIPs for this municipality (1990): 01069 Population (2000): 9884 Housing Units (2000): 4268 Land area (2000): 29.368165 sq. miles (76.063194 sq. km) Water area (2000): 0.266072 sq. miles (0.689123 sq. km) Total area (2000): 29.634237 sq. miles (76.752317 sq. km) Located within: Massachusetts (MA) Location: 42.176401 N, 72.326468 W