Old-School British Communism

England began a grand experiment in 1649, after it executed its king and began governing as a commonwealth (read: Cromwell dictatorship).

Yet some English wanted a more extreme experiment.  Called the Diggers, this was a group of English who renounced all property and espoused communism long before the word would be invented.

Because there was no religious rule, it was not a monastery/nunnery.

It did not last.  In fact, it is very difficult to find any commune or socialist system which lasts other than monasteries/nunneries.