The Original Tapenade

Name: The Original Tapenade
Ingredients: 1⅔ cups brined capers, drained; 1¼ cups oil-cured black or niçoise olives, pitted; ½ cup olive oil-packed tuna, flaked; 1 Tbsp. plus 2 tsp. prepared English-style mustard, such as Colman’s; 1 Tbsp. cognac, plus more to taste; ½ tsp. freshly ground black pepper, plus more; 6 oil-packed anchovy fillets; 4 salt-cured anchovy fillets, pin bones removed; 1 cup extra-virgin olive oil; Crostini or baguette slices, for serving; 12 hard-boiled eggs, peeled and halved lengthwise (optional)