It will depend on the ambient temperature, and your definition of "hot".
It will depend on the ambient temperature about 30mins to an hour.Can anybody tell me how long the water stays hot for in the above 13litre boiler please?
Once up to temperature you only need to replace what you're losing so insulation becomes the major factor.
I'd have expected your Sizewell D/2.21 gigawatt system to easily cope in the summer but if not then you could hack one of those cheap £70 Amazon jobbies by removing the plastic case and build it to a slightly larger box lined with polystyrene or celotex. It wouldn't be hard.