Lime and cranberry bread and butter pudding

Name: Lime and cranberry bread and butter pudding
Ingredients: 8 limes, zest and juice; 85g/3oz chilled butter, cut into cubes; 225g/8oz caster sugar; 3 free-range eggs, lightly beaten; 300ml/10½fl oz full-fat milk; 300ml/10½fl oz double cream; pinch salt; 3 free-range eggs; 100g/3½oz soft light brown sugar; 40g/1½oz unsalted butter, softened, plus extra for greasing; 4-6 soft white bread rolls, sliced; 100g/3½oz fresh cranberries; 50g/2oz dried cranberries; 3-4 tbsp rum (optional); 8 tbsp ready-made redcurrant jelly, for glazing; 200ml/7fl oz double cream, whipped until stiff peaks form when the whisk is removed, to serve