01 - Combine heavy cream and whole milk in a medium saucepan. Warm over medium heat until steaming but not boiling.
02 - In a separate bowl, whisk egg yolks with sugar until mixture becomes pale and thick.
03 - Slowly add about 1/2 cup of the warm cream mixture to the egg yolk mixture while whisking constantly to prevent curdling.
04 - Return the combined mixture to the saucepan and cook over low heat, stirring continually until custard thickens enough to coat the back of a spoon (170–175°F).
05 - Remove from heat and stir in peppermint extract, vanilla extract, and optional food coloring.
06 - Pour custard through a fine mesh sieve into a clean bowl. Allow to cool to room temperature, then cover and refrigerate for at least 4 hours or overnight.
07 - Process the chilled custard in an ice cream maker following manufacturer’s instructions.
08 - During the final 2 minutes of churning, incorporate crushed peppermint candies.
09 - Transfer the churned ice cream to a lidded freezer-safe container and freeze for at least 2 hours before serving.