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Add water and vinegar to a pot with at least 1 inch of water to cover the eggs.
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Bring the water to a boil.
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Turn off the heat and let sit for 15 minutes
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Peel the eggs under cold water.
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Slice the eggs in half horizontally.
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Carefully remove the yolks. Tranfer the yolks to a bowl.
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Cut a very thin slice off the bottoms of the egg whites.
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Mash the yolks with a fork. Mix in the vinegar, mayonnaise, and preserved lime.
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Season with salt and pepper to taste.
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Load the mixture into a pastry bag.
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Pipe the mixture into the egg whites and stand them up on a serving platter
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Twist 2 scallion strands together, trim the ends, and arc them across each egg, tucking the ends into each side.
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Serve.