In mainland Britain, you are never more than 69 miles from a fish and chip shop.
This fact is calculated from data recorded in OpenStreetMap.
The point that achieves the furthest distance from a fish and chip shop is here, with the nearest to it being this.
If you know of a fish and chip shop that disproves the claim, you can edit OpenStreetMap (here's how) to make sure that item is listed on the map. (NB this website is refreshed occasionally from OpenStreetMap, but not instantly.)