Accompaniments: Diced avocado, thinly sliced iceberg or romaine lettuce, chopped
white onion, diced radishes, lime wedges, dried oregano, and dried hot red
pepper flakes.
Peel the garlic cloves and reserve 2 for the chili sauce. Slice the remaining
garlic. In a 7- to 8-quart heavy kettle bring water and broth just to a boil
with sliced garlic and pork. Skim the surface and add oregano. Gently simmer
pork, uncovered, until tender, about 11/2 hours.
While pork is simmering, discard stems from chilies, and in a bowl, combine them
with boiling-hot water. Soak chilies, turning them occasionally, for 30 minutes.
Cut onion into large pieces and, in a blender, puree with chilis and soaking
liquid, reserved 2 cloves of garlic and 2 teaspoons salt until smooth.
Transfer pork with tongs to a cutting board and reserve broth mixture. Using 2
forks, shred the pork. Discard the pork bones. Rinse and drain hominy. Return
pork to broth mixture and add chili sauce, hominy, and remaining teaspoon salt.
Simmer posole 30 minutes and, if necessary, season with salt. Posole may be made
2 days ahead and chilled, covered.
Serve posole with broken up tortilla chips and bowls of accompaniments. Serves
eight.