Home Postcodes by state TAS 7004 Postcode 7004 7004 is the postcode for 2 localities in TAS: Battery Point and South Hobart. Localities with postcode 7004Battery PointTASSouth HobartTAS Postcode 7004 State or territory Tasmania (TAS) Localities 2 Council area Hobart Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 7000 · Postcode 7005