Home Postcodes by state WA 6157 Postcode 6157 6157 is the postcode for 2 localities in WA: Bicton and Palmyra. Localities with postcode 6157BictonWAPalmyraWA Postcode 6157 State or territory Western Australia (WA) Localities 2 Council area Melville Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 6156 · Postcode 6158