If you have a Vitamix: Place everything in the vitamix and blend until you have a thick pesto-type consistency.
If you don't have a Vitamix, soften the beets by boiling for 30 minutes. Cool completely.
Put everything except the vinegar into the food processor and process until you have the consistency of pesto. Add vinegar a little at a time. It should not be the predominant taste. Season with salt and pepper. Serve cold, room temperature or hot.