A "need" in the Nonviolent Communication sense. Different from connection, which can be met with one-on-one connections. Community evokes something larger — i get something from the people i am connected with also being connected with each other.
"Community" is also often used as shorthand for intentional community. See http://ic.org
I live in community currently, at Walnut Street Co-op.
"When [networks] get uncomfortable, it's easy to opt out of them. Communities teach tolerance, co-existence, and mutual respect.... I fear that calling a network a community leads people to complacency and delusion, to accepting an inadequate substitute because they've never experienced the real thing and they don't know what they're missing."
--Eric Utne, publisher, Utne Reader, March-April 1995, p. 3