Bring 6 quarts water to boil and add 2 tablespoons of salt.
Place pitted olives, basil, pine nuts and olive oil in a food processor and blend until smooth. Remove and place in a 12 to 14inch saute pan off of heat. Drop linguine into boiling water and cook according to instructions until just al dente. Drain linguine well in colander and pour into pan with sauce. Place pan over medium heat and toss gently to coat. Serve immediately with grated cheese on the side.