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Whisk together the egg yolks in a heatproof bowl and set aside.
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Bring cream, milk, and sugar to a boil in a heavy-bottomed saucepan.
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Stir until the sugar has dissolved.
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Add the corn kernels and bring the mixture to a boil.
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Remove from heat.
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Strain some of the creamy liquid into a measuring cup. Take care not to add in any corn kernels.
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Whisking constantly, gently pour the hot liquid from the measuring cup into the bowl with the egg yolks until combined.
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Pour the egg yolk liquid back into the saucepan with the rest of the mixture and reheat over a low flame.
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When the mixture comes to a boil, remove from heat.
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Transfer to a heat-proof bowl and cover with plastic cling film.
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Make sure the plastic touches the custard. This prevents a crust from forming.
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Refrigerate for at least 3 hours or overnight.
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Transfer custard to the bowl of an ice cream maker.
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Process according to manufacturer instructions.
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Fold in the chopped candied basil.
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Scrape ice cream (which will now be soft serve consistency) into a plastic tub with a tightly sealed lid.
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Freeze for at least two hours before serving.