Officers have released a picture of a man wearing a salmon-coloured top who they want to speak to following the incidents.
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It comes after they received reports of several thefts at Premier stores in the town in November and December last year.
Anyone who recognises him is asked to contact Darlington Police.
A spokesperson added: “Contact PC 9015 McGarry at North Road Neighbourhood Police Team on 101, quoting crime reference number CRI00586707”
