A Wellington City Councillor is bemused to have been under investigation for breaching council code.

Five City Councillors have been ordered to take lessons on the code of conduct - over leaks of a closed-door briefing on the future of the closed CBD Reading Cinemas.

They're accused of failing to keep things confidential when responding to media.

Councillor Ray Chung told Heather du Plessis Allan that he doesn't understand how he's done that.

He says all he said was Council shouldn't be going into negotiations when it has no money .. and he never mentioned the name of the cinema or where it was.

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