In a deep bowl, whisk together the eggs and brown sugar. Add the milk and continue to whisk. Add the bread, stir, and let rest 5 minutes.
Grease a 9 in. x 13 in. oven-safe dish. Pour the bread mixture into the dish and press down using your fingers. Bake in the centre of the oven for 20 minutes.
While the bread pudding bakes, set a double boiler over medium heat, and whisk together the eggs, milk, and sugar until mixture thickens (approximately 10 minutes). Add the maple syrup and stir until combined.
Serve the bread pudding drizzled with the custard cream and topped with berries.