Cut twelve strips (2 by 11 in/5 by 28 cm) of parchment paper or aluminum foil. Wrap each one around a 4½-fl oz/135-mL ramekin and fasten with tape. Place the ramekins on a sheet pan and place in the freezer until thoroughly chilled.
Combine the eggs, egg yolks, sugar, and orange liqueur in a mixer bowl and whisk constantly over simmering water until the mixture