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The hosts finished on 407 for four in their 50 overs, a record score for the team.
Hamish Rutherford scored 155, while Nick Kelly (79) and Neil Broom (52) both scored half-centuries, and Mitch Renwick chimed in with 47.
In response, Central Districts could only manage 282, with Kieran Noema-Barnett top-scoring (76) for the visitors.