Using tongs, char the red peppers in the flames of a stovetop burner. The peppers should be completely black. Put the peppers in a container or bowl and cover until cool. Pull off all of the blackened skin. Remove the stem and seeds, rinse, and slice. Measure 3/4 cup of the peppers, set the rest aside.
Combine all ingredients and peppers through paprika in the bowl of a food processor. Process until smooth (there will be some fine lumps). Add warm water, if necessary, to achieve the desired texture.
Adjust seasonings. Serve topped with reserved peppers.