Eggs in Purgatory - Fresh-Pressed Olive Oil

Ingredients

• 1/4 cup extra virgin olive oil, plus more for drizzling
• 5 garlic cloves, peeled and smashed
• Coarse salt (kosher or sea) and freshly ground black pepper
• 1/2 teaspoon hot red pepper flakes
• 20 ounces ripe cherry tomatoes
• 1 bunch Swiss chard, preferably rainbow
• 6 large eggs
• 4 thin slices country-style bread
• 1 lemon
• Flaky sea salt, such as Maldon, or more coarse salt
• Handful of fresh basil leaves