Wellingborough Prison will close by the end of this year with the loss of almost 600 prison places.
The Justice Secretary Kenneth Clarke said closing the category C jail in Northamptonshire will save £10million per year.
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Despite receiving treatment at the scene, the man was pronounced dead shortly after.
Cloud will largely clear this evening, although with variable cover and few light showers over the Derbyshire hills.
The rain will clear during the evening so the rest of the night will be dry and mild with long clear periods.