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Nine pieces of greenstone were found at a Glenorchy address on Sunday by police operating under a search warrant.
Sergeant Keith Newell, of Queenstown, said police, acting on information from the public, seized various sizes and qualities of the stone.
Greenstone is found in the South Island and belongs to Ngai Tahu, who are permanent guardians of the stone.
Police would not say what the charges were, only that inquiries would be continuing.