In a blender, PROCESS the basil, lime juice, red chili paste, garlic and ginger until blended; TOSS 1 tablespoon of mixture with peeled shrimp.
Start COOKING pasta according to directions.
Meanwhile, in a small bowl, MIX cornstarch and water until smooth.
In an electric skillet, HEAT oil over medium high heat; ADD shrimp; STIR FRY until shrimp turns pink, about 2-4 minutes; REMOVE shrimp to bowl,
ADD broth, coconut milk, salt, and remaining basil mixture to same skillet; STIR in cornstarch and water until smooth.
Bring broth mixture to a BOIL; COOK, STIRRING, until slightly thickened, about 2 minutes; STIR in lime zest.
DRAIN cooked pasta; ADD pasta and shrimp to broth mixture, TOSSING to coat.
Per Serving (excluding unknown items): 413 Calories; 8g Fat (18.3% calories from fat); 32g Protein; 48g Carbohydrate; 2g Dietary Fiber; 176mg Cholesterol; 688mg Sodium. Exchanges: 3 Grain(Starch); 3 1/2 Lean Meat; 0 Vegetable; 0 Fruit; 1 Fat.