Home Postcodes by state SA 5024 Postcode 5024 5024 is the postcode for 3 localities in SA: Fulham, Fulham Gardens and West Beach. Localities with postcode 5024FulhamSAFulham GardensSAWest BeachSA Postcode 5024 State or territory South Australia (SA) Localities 3 Council area West Torrens; Charles Sturt; Mainly Charles Sturt, partly West Torrens Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 5023 · Postcode 5025