Home Postcodes by state SA 5138 Postcode 5138 5138 is the postcode for Basket Range, SA. Localities with postcode 5138Basket RangeSA Postcode 5138 State or territory South Australia (SA) Localities 1 Council area Adelaide Hills Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 5137 · Postcode 5139