01 - Place eggs in a saucepan and cover with cold water. Bring to a rolling boil over high heat, then reduce to a simmer, cover, and cook for 10 minutes. Transfer immediately to an ice bath to cool. Once cooled, peel the eggs and halve each lengthwise.
02 - Gently scoop out the cooked yolks from each egg white half and transfer them to a mixing bowl. Set the egg white halves aside on a serving platter.
03 - Heat olive oil in a small skillet over high heat. Add the corn kernels and sauté, stirring occasionally, until lightly charred and caramelized, about 3 to 4 minutes. Remove from heat and let cool to room temperature.
04 - To the bowl of egg yolks, add mayonnaise, sour cream, lime juice, smoked paprika, chili powder, garlic powder, and salt. Mash and stir vigorously until the mixture is completely smooth and creamy.
05 - Gently fold the charred corn kernels, crumbled cotija cheese, and chopped cilantro into the yolk mixture until evenly distributed.
06 - Using a piping bag or a spoon, fill each egg white half generously with the corn-cheese mixture, mounding the filling slightly above the surface.
07 - Sprinkle the filled eggs with additional crumbled cotija cheese, a dusting of chili powder, and fresh chopped cilantro. Serve immediately with lime wedges on the side.