Polyethylene copolymers with a structure that provides improved film properties are provided. The copolymers can have a density of about 0.905 to about 0.911 g/cm3. The copolymers can also have a DRI/I2 ratio of about 0.0008 to about 0.060, an I2 value of about 0.6 to about 3.8 dg/min, and an I21 value of about 8 to about 57 dg/min. The copolymers having those properties can be produced by introducing ethylene and at least one other olefin comonomer to a single reactor at a comonomer/ethylene mole ratio of about 0.02 to about 0.03 and polymerizing at a temperature of about 76.7° C. to about 80.6° C. and a pressure of about 1,724 kPa to about 2,413 kPa. The copolymers can be used to make films having a 21 mol % O2 transmission rate of about 150 to about 200 cc/100 in2/24 hr. and hot tack seal initiation temperatures of about 65° C. to 80° C.