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Does look rather like common periwinkle or winkle, also known as Littorina littorea but there might be a few other species that are quite similar so I will let someone with more expertise decide whether to agree with you or not.
We used to eat these down by the seaside. With vinegar, not straight off the beach!
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Lat/Lng: 55.070771, -1.450202
OS grid ref: NZ352752