Lynch Close, Mere BA12 6EL. Lynch Close is close to Mere town centre. Mere is a historic small town with shops, a chemist, GP, library, pubs and churches. Mere is approximately 4 miles from Gillingham and 8.3 miles from Shaftesbury, and on a bus route. Gillingham is a historic town with shops, supermarkets, restaurants and the RiversMeet leisure centre.