Boil a large pot of salted water. Cook linguine to al dente. While noodles are cooking make the pesto.
Scoop the flesh of the avocados into a food processor and add basil, nutritional yeast, lemon juice, chives, sea salt, and ground pepper. Run the machine to get the ingredients smooth while drizzling in the olive oil.
Drain pasta but do not rinse. Toss in the avocado pesto until well combined and all the noodles are well coated. Plate and top each serving with diced tomato and hemp hearts or vegan parmesan.