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1 One day ahead, bring a pot of salted water to a boil.
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Put the 4 cups of basil in the boiling water, and when the water returns to a boil, quickly drain and plunge the basil into a bowl of ice water.
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When cold, drain and squeeze out the excess water.
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Finely chop the basil with a knife.
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Place it in a bowl and mix in 1 cup of olive oil.
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Cover and refrigerate overnight.
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Strain and bring to room temperature before serving.
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2 Put the tomatoes, capers, olives, and anchovy in a bowl and stir in 2 tablespoons of olive oil.
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Season with salt and pepper.
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Let stand at room temperature for 2 to 3 hours.
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3 Meanwhile, bring another pot of salted water to a boil.
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Cook the potatoes until they're tender, about 30 minutes.
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Drain and run cold water over them.
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Peel and cut them into 1/4-inch-wide slices.
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Set aside.
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4 Bring a separate pot of salted water to a boil.
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Blanch the green beans until they're crisp-tender, about 3 minutes.
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Drain and refresh under cold running water.
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Drain again and set aside.
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5 Preheat the oven to 550 degrees.
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Divide the com oil between the 2 skillets.
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Place over high heat until the oil is just smoking.
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Season the cod on both sides with salt and pepper.
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Put 2 cod fillets in each skillet and Saute until the fish is golden brown and crusted on the bottom, about 2 minutes.
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Turn and sear the other side for 30 seconds.
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Put the pans in the oven and roast for about 7 minutes, until a metal skewer can be easily inserted into the fish and, when left in for 5 seconds, feels hot when touched to your lip.
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6 Meanwhile, put the water and the butter in a large saucepan over medium-high heat and whisk until the butter is melted.
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Add the potatoes and season with salt and pepper.
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Reheat, being careful not to break the slices.
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Add the green beans and warm through, about 2 minutes.
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7 Arrange the potatoes and green beans in a single layer in the center of 4 dinner plates.
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Lay the cod over the top.
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Spoon the tomato mixture around the potatoes.
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Spoon the basil oil over the tomato mixture, to cover the plates.
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Drizzle the vinegar into the oil and scatter the sliced basil over all.
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Serve immediately.