Whisk the eggs and the yolks together and whisk into the warm milk and pass through a fine sieve.
Place the butter and the sugar into a saucepan and heat over a medium heat until the sugar starts to caramelise and turn golden brown. Add the diced banana and cook for a further 5 minutes.
In a large mixing bowl combine the diced brioche, remaining white chocolate, chopped pistachios and the caramelised banana and spread out in a lined baking tray.
Pour over the cream mix and allow to stand for 5 minutes to allow the brioche to absorb the cream.
Bake in the oven preheated to 165?C for 20-25 minutes or until golden brown and cooked through.