Combine all the ingredients in a large bowl. Stir to combine. Form mixture into 2-inch patties.
Heat oil in a large skillet over medium heat. Add patties, and cook until golden brown, about 2 minutes per side. Drain on paper towels. Serve with garlicky aioli.
Garlicky Aioli
Place egg yolks, garlic, mustard, water and lemon juice in a food processor or non-reactive stainless steel mixing bowl or a glass bowl. Pulse or whisk together until smooth. Slowly add the oil drop by drop into the bowl while continually whisking or processing. The mixture should resemble mayonnaise. Salt and pepper to taste.