Place the walnuts in the bowl of a food processor. Process for about 15 seconds or until they reach a mealy, crumb-like texture.
Add the drained sun-dried tomatoes, Kalamata olives, capers, lemon juice, and garlic to the food processor. Process until the mixture forms a paste, stopping two or three times to scrape down the sides of the bowl with a spatula.
Add the fresh parsley and basil. Process for another 10 seconds to combine.
Transfer the tapenade to a serving bowl.
Serve immediately or store for later.
Don't just use it as a dip! This versatile spread is fantastic tossed with pasta, spread on sandwiches, or used as a topping for grilled tofu or roasted vegetables.