Combine chili peppers, garlic, salt, and olive oil in a food processor and blend till the big chunks are gone. Don't over do it here. This is supposed to be a paste with little bits in it not a sauce.
Add remaining spices and blend to form a semi smooth paste.
Store in airtight container. Drizzle a small amount of olive oil on top to keep fresh or press a piece of plastic wrap over the top so it touches all the way around. This wonderful concoction will keep for at least a month in the refrigerator.