Home Postcodes by state QLD 4068 Postcode 4068 4068 is the postcode for 4 localities in QLD: Chelmer, Indooroopilly, Taringa and Indooroopilly Centre. Localities with postcode 4068ChelmerQLDIndooroopillyQLDIndooroopilly CentreQLDTaringaQLD Postcode 4068 State or territory Queensland (QLD) Localities 4 Council area Brisbane Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 4067 · Postcode 4069