Cook the pasta according to package directions, drain, and set aside.
Meanwhile, in a large sauté pan, cook the bacon over moderately low heat, stirring frequently, until crispy and browned, about 5 minutes.
Add the lobster meat and all of the truffle cream sauce and cook over moderately high heat for about 1 minute. Add the cooked spaghetti, peas, and Parmesan, then season with salt and pepper. Cook, stirring constantly, until the sauce begins to thicken, about 30 seconds. Remove from the heat and set aside.
In a small pot, bring salted water to a boil and remove from heat. In a small bowl, crack two eggs and gently pour them into the hot water. Let them cook for about 3 to 4 minutes for a runny poached egg. Carefully remove them with a slotted spoon and add them to the pasta.
In a large bowl, mix the pasta together to incorporate the poached eggs into the sauce. Garnish with fresh basil and serve!