This seems accurate:
1 a: a theory advocating elimination of private property b: a system in which goods are owned in common and are available to all as needed2capitalized a: a doctrine based on revolutionary Marxian socialism and Marxism-Leninism that was the official ideology of the Union of Soviet Socialist Republics b: a totalitarian system of government in which a single authoritarian party controls state-owned means of production c: a final stage of society in Marxist theory in which the state has withered away and economic goods are distributed equitably d: communist systems collectively
The last part is laughable, no communist state gets to the part where the government withers away and everyone is working in communes distributing work evenly. There will always be party members with privileged jobs in such states.
The Plymouth Colony might have met that model, except that people discovered that they needed the government to recognize private property if the colony was going to survive.