The Monks of Mount Athos
Some call it the Holy Mountain, some the Garden of the Virgin Mary, Mount Athos' first monasteries were founded in the 4th century. Certainly monks lived there quietly for hundreds of years before.
It is the only place on earth where the flag of the Roman Empire still flies. It is also the only place in the world which keeps Byzantine, or Roman, time since the fall of the Empire in 1453.