Whitehouse Farm Oast, School Lane, Higham, Kent Four square kiln oast house. – Oast House Archive, CC BY-SA 2.0 – Wikimedia Commons Higham is located in Gravesham. The area is situated on the River Thames. About 3,932 people live here (as of 2021). Between 2011 and 2021, the population fell from 3,962 to 3,932. Higham has around 174 streets. The postal codes are ME3. The dialling code is 01474. Higham is village and civil parish in Kent, United Kingdom. Among other things, Higham has public transport, restaurants, cafés, hairdressers and pharmacies.