Preheat oven to 200°C (390°F).
Beat cream cheese and sugar for ~5 minutes until completely smooth.
Add eggs one at a time, then yolks, mixing well after each addition.
Add heavy cream and vanilla; mix to combine.
Sift in the flour and gently fold until smooth.
Line a 23 cm (9-inch) springform pan with 2 overlapping sheets of parchment, letting them overhang.
Pour in the batter, smooth the top, and bake 50–60 minutes until the top is deeply browned and the center still jiggles.
Cool 1 hour at room temperature, then refrigerate until fully set (ideally overnight).