Far as I can tell Wittgenstein wrote anything but that differing communities are separated from communication.
I am away from my office, fortunately, or I'd likely spend the next hour searching for just the right quote. Instead, I cheated and just grabbed the first site that returned when I googled "Wittgenstein on meaning". It is written very simplistically, and I am not pretending it is the best source at all, but I just wanted to show a bit of a different take on the difficulties in communication that can come from playing by different rules:
People who are playing a language-game, and who are playing by different rules, may have difficulty in understanding each other. People may have different interpretations of the rules, or may apply rules differently. People may, in some cases, decide the rules of a game while they are playing the game.
Wittgenstein says that the failure to understand words, or the failure to use words clearly, may often be caused by misunderstanding of how words are used in a language-game. Failure to communicate clearly may be caused by the use of words which have an unclear or indefinite meaning, or by lack of understanding of the relation between the meaning of words and the way in which they are used. The task of philosophy may be to clarify the uses of language, and to assemble `reminders of usage' concerning how rules are applied to language.
Wittgenstein also argues that the uses or meaning of words may change, according to changes in the circumstances and scene of a language-game. To use words meaningfully, people must decide which language-game they want to play, and how they want to play it.