Melt the butter in a pot and cook the flour until combined
Infuse the milk with the vanilla pod and lime zest, then deglaze the flour mixture with the milk
Stir in the whole eggs and egg yolks until smooth.
Prepare a French meringue by whipping the egg whites with sugar until stiff peaks form.
Gently fold the meringue into the batter
Pour the mixture into a prepared mold and bake at 170°C for 18 minutes.