Place all the jars in a large pot, fill it with water, 2 to 3 inches, cover and bring to a boil. Cook over medium heat for 7-9 minutes, until you see the white almost firm.
Meanwhile, prepare the vinaigrette: place the olive oil and mint in a small pot. Heat for less than a minute, enough to make mint leaves relieve their aroma (don’t boil!). Transfer to a small bowl or jar, add the other ingredients, mix, salt to taste and set aside.
When the eggs are ready, serve them hot, inside the jars. Season them with the tequila vinaigrette and serve with a hot French baguette for deep dipping in the creamy yolk.