Home Postcode finder TAS White Hills White Hills postcode TAS White Hills is a locality in Tasmania covered by postcode 7258. Postcode 7258 State or territory Tasmania (TAS) Region Tasmania Add a free White Hills business listing Be the first listing in White Hills Common questionsWhat is the postcode for White Hills?White Hills, TAS has the postcode 7258.What state is White Hills in?White Hills is in Tasmania (TAS).Does postcode 7258 cover more than one suburb?Yes. Postcode 7258 covers 3 localities, so the postcode alone does not identify White Hills. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.