Home Postcodes by state SA 5065 Postcode 5065 5065 is the postcode for 5 localities in SA: Dulwich, Glenside, Linden Park, Toorak Gardens and Tusmore. Localities with postcode 5065DulwichSAGlensideSALinden ParkSAToorak GardensSATusmoreSA Postcode 5065 State or territory South Australia (SA) Localities 5 Council area Burnside Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 5064 · Postcode 5066