Home Postcodes by state WA 6707 Postcode 6707 6707 is the postcode for 5 localities in WA: Cape Range National Park, Exmouth, Exmouth Gulf, Learmonth and North West Cape. Localities with postcode 6707Cape Range National ParkWAExmouthWAExmouth GulfWALearmonthWANorth West CapeWA Postcode 6707 State or territory Western Australia (WA) Localities 5 Council area Exmouth Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 6705 · Postcode 6710