Put the eggs in a saucepan and cover them with cold water by 1 inch. Place the saucepan over high heat and bring the water to a boil. Once boiling, reduce the heat to low and let the eggs simmer for 10 minutes. Drain the hot water from the saucepan and immediately transfer the eggs to an ice bath. Let them stand in the ice bath until completely cooled.

To peel the eggs, gently crack the shells all over and peel them under running water. Starting at the wider end of the egg, where there is usually a small air pocket, can make it easier to remove the shell. Once peeled, transfer the boiled eggs to a cutting board and slice them.

On a clean work surface, arrange four bread slices in a row. Spread mayonnaise to taste over one side of each bread slice. Place two stacks of lettuce on top of each bread slice, adjusting the lettuce to fit neatly if necessary. Carefully place the second layered bread slice on top of the lettuce. Spread mayonnaise to taste over each bread slice.

Add three to four tomato slices and season with salt and pepper to taste. Cover with the third bread slice and spread mayonnaise to taste over each bread slice. Place slices of one hard-boiled egg and season with salt and pepper to taste. Cover with the fourth bread slice, mayo side down. Repeat the entire process with the remaining ingredients to make more sandwiches. Finally, use a serrated knife to cut each sandwich diagonally.