Bring a pot of water to a rolling boil. Gently lower the 6 large eggs into the water with a slotted spoon so they are covered, and cook for 11 minutes.
While the eggs cook, halve the 2 medium avocados, remove the pits, and scoop the flesh into a blender (or a bowl).
Add the 1 teaspoon finely chopped chipotle, ½ red onion finely chopped, ¼ cup chopped cilantro, 2 tablespoons fresh lemon juice, and salt and pepper to taste. Blend or mash until creamy; taste and adjust seasoning.
Transfer the guacamole to a piping bag (or a sealable plastic bag with a corner snipped) and refrigerate until the eggs are ready.
When the eggs are done, cool them under cold running water or in an ice bath until easy to handle, then peel.
Cut each egg in half lengthwise and remove the cooked yolks; reserve the yolks for another use or discard.
Pipe the guacamole into each egg white half, season with additional salt and pepper if desired, and serve.