Make sure the bowl of your ice cream maker is frozen before making this recipe!
Heat the fresh mint leaves, heavy cream, whole milk, and salt in a medium saucepan set over medium heat until simmering but not boiling. Simmer for 5-6 minutes. Remove from the heat, cover, and let steep for 30 minutes.
2 1/2 cups fresh mint leaves, 2 cups heavy cream, 1 cup whole milk, 1/4 teaspoon fine sea salt
Pour the mixture through a fine-mesh strainer into a clean saucepan, pressing lightly on the mint leaves to extract as much flavor as possible. Discard the mint leaves.
Heat the infused cream mixture over medium heat until hot again.
Whisk the egg yolks with the sugar in a medium bowl until smooth and pale yellow. Slowly ladle 1 cup of the hot cream mixture into the yolks while whisking constantly. Gradually pour the tempered yolk mixture back into the saucepan.
3/4 cup granulated sugar, 6 large egg yolks
Cook over medium-low heat, stirring constantly with a wooden spoon or heatproof spatula, until the custard thickens slightly and coats the back of the spoon, approximately 5-7 minutes.
Pour the custard through a fine-mesh strainer into a clean bowl. Stir in the vanilla extract.
1 teaspoon pure vanilla extract
Cover and refrigerate until thoroughly chilled, at least 4 hours or overnight.
Using a double boiler, melt the semisweet chocolate with the coconut oil, stirring occasionally, until smooth. Pour onto a sheet pan lined with parchment paper, spreading into a thin layer. Let the mixture firm up (you can speed up the process by chilling it). Use a knife to cut the chocolate into small pieces. (See notes)
Churn the chilled ice cream base in an ice cream maker according to the manufacturer’s instructions.
Transfer the ice cream to a freezer-safe container, layering the ice cream with the chocolate pieces. Cover tightly, and freeze until firm, about 3-4 hours before serving.
Notes
If you prefer, you can pour the melted chocolate directly into the churning ice cream, toward the very end of the churning process. Use a slow drizzle to pour so the chocolate is dispersed evenly as it churns.