Home Postcode finder TAS Highclere Highclere postcode TAS Highclere is a locality in Tasmania covered by postcode 7321. Postcode 7321 State or territory Tasmania (TAS) Region Tasmania Add a free Highclere business listing Be the first listing in Highclere Common questionsWhat is the postcode for Highclere?Highclere, TAS has the postcode 7321.What state is Highclere in?Highclere is in Tasmania (TAS).Does postcode 7321 cover more than one suburb?Yes. Postcode 7321 covers 35 localities, so the postcode alone does not identify Highclere. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.