How to Make It
Heat a grill to high (450°F to 550°F). Brush tomatoes and bread with 1 tablespoon oil, and place tomatoes, bread, and feta on grates; grill until charred on both sides, 1 to 2 minutes per side. Transfer to a plate, and sprinkle evenly with salt and pepper. Let cool 5 minutes; cut larger tomatoes and bread into chunks.
Combine tomatoes, bread, beans, onion, basil, vinegar, and remaining 3 tablespoons oil in a large bowl; gently toss. Divide salad among 4 plates; crumble feta evenly over top. Serve immediately.