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1
Put the water, peppercorns, salt, thyme, bay leaves and pepper flakes in a kettle large enough to hold the lobsters.
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2
Cover and bring to a boil.
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3
Add the lobsters quickly, one at a time, and cover.
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4
When the water returns to a boil, cook the lobsters for 10 minutes and drain thoroughly.
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5
When the lobsters are cool enough to handle, break off the tails and remove the meat from each in one piece.
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6
Crack the large claws and remove the meat from each in one piece.
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7
Remove the meat from the remaining claw shells.
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8
Put all the meat in a bowl.
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9
Stack the basil leaves and cut them into fine shreds.
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10
There should be about 1/2 cup.
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11
Add to the bowl.
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12
Put the olive oil, shallots, vinegar and salt in a small mixing bowl and toss to blend well.
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13
To serve, cut each piece of tail meat on the bias into 1/2-inch-thick medallions.
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14
Reassemble the slices from one lobster tail on a plate.
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15
Arrange two of the large pieces of claw meat at the top of the tail meat to resemble a lobster shape.
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16
Spoon about a quarter of the sauce over the tail and claw meat.
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17
Scatter a quarter of the small pieces of lobster meat around.
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18
Garnish each side of the tail meat with a quarter of the recipe for three-salad chiffonade.
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19
Repeat with the remaining lobster meat and three-salad chiffonade.