Make pickled cucumbers: In a small bowl stir together all pickled cucumber ingredients except cucumber until sugar and salt are dissolved. Add cucumber, stirring to coat well, and marinate 30 minutes.
Make burgers: Prepare grill.
Into a food processor with motor running, drop garlic and gingerroot. Add coriander, mint, basil, lime juice, sugar and anchovy fillets and blend well. In a bowl combine turkey, herb mixture, bread crumbs and cayenne and form into six 1-inch-thick patties. Season burgers with salt and pepper to taste and grill on an oiled rack set 5 to 6 inches over glowing coals 6 minutes on each side, or until just cooked through.
Drain cucumbers. Transfer burgers to buns or rolls and top with pickled cucumbers.