Place chicken breasts in a soup pot and cover with 12 cups water. Add the charred garlic cloves, oregano, thyme, bay leaves, whole cloves, salt and pepper, and bring to a simmer over medium heat. Partially cover with a lid and cook for 40 minutes, until the chicken is completely cooked through yet still tender. Remove from the heat. Remove the chicken breasts and once cool enough to handle, shred into fine pieces. Strain the broth into a large bowl, incorporate the shredded chicken, and reserve.