Gently place the eggs into a large saucepan and cover with cold water. Add the vinegar and place over high heat. Bring to a boil and set a timer for 5 minutes. Remove from the heat after 5 minutes and let sit an additional 2 minutes. Drain the eggs and run under cold water. Immediately peel the eggs* and slice in half the long way. Remove the yolks to a mixing bowl and set the whites to the side. Using a fork, mash the yolks well. Add the mayonnaise, anchovy paste, mustard and white pepper and mix well. Spoon the mixture into a pastry bag fitted with a #6 round tip (1/2-inch diameter). Alternatively, use a sealable plastic bag with the tip cut off.
Set the egg whites out in a row. Into half, spoon 1/4 teaspoon of the black caviar. Into the other half spoon 1/2 teaspoon of the red caviar. Pipe the filling on top of the caviar so that each resembles a full yolk. Garnish the black caviar stuffed eggs with a small amount of the red caviar and vice versa. Garnish each with a small sprig of dill and serve on a bed of mixed greens.
*We've found that the combination of adding vinegar to the water and peeling them while still hot is the best method for removing the shell easily.
Recipe courtesy of Dan Smith and Steve McDonagh