Fill a large pot with water and bring it to a boil. Add a generous pinch of salt to the water.
Carefully place the lobster tails in the boiling water and poach them for about 5-6 minutes, or until the shells turn bright red and the meat is opaque.
Remove the lobster tails from the boiling water and transfer them to a bowl of ice water to stop the cooking process.
Once cooled, cut the shells lengthwise, remove the meat and chop it into bite-sized pieces. Set aside.
Cook the bucatini pasta according to package instructions until al dente. Drain and set aside.
In a large skillet, heat the olive oil over medium heat. Add the minced garlic and chopped chili, and sauté for 1-2 minutes until fragrant.
Add the sweet corn kernels to the skillet and cook for 2-3 minutes until slightly tender.
Pour in the white wine and let it simmer for a minute to cook off the alcohol.
Add the poached lobster meat to the skillet and stir to combine with the garlic, chili, and sweet corn.
Pour in the heavy cream and bring to a gentle simmer. Cook for 2-3 minutes until the sauce thickens slightly.
Add the cooked bucatini pasta to the skillet and toss to coat well. Cook for an additional minute.
Stir in the grated Parmesan cheese and season with salt and pepper. Mix well.
Remove from heat and garnish with torn fresh basil leaves.
Serve immediately and enjoy the delightful combination of flavors.