For the pico de gallo: Combine the tomatoes, jalapeno, onion, cilantro and lime juice in a small bowl. Season with salt and pepper. Set aside.
For the eggs: Heat 2 tablespoons oil in a large nonstick skillet over medium-high heat. Add the chorizo and cook, breaking up the meat into big chunks, until well-browned, about 4 minutes. If the mixture seems dry, add another tablespoon of oil. Add the onion and cook, stirring, until tender (reduce the heat if the onion browns too quickly), about 3 minutes. Turn the heat to medium-low.
Beat the eggs in a bowl until frothy. Stir the butter into the skillet. When it has just melted, pour the eggs over the chorizo and stir constantly with a wooden spoon or rubber spatula until they are just set. Garnish with the reserved cilantro and serve with the tortillas, avocado and pico de gallo.
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