1 1/2 cups heavy (whipping) cream
1 cup whole milk
2/3 cup Sugar
1/8 teaspoon salt
3 large whole eggs
  grated zest of 1 lime
2 tablespoons fresh lime juice
1/2 cup pineapple juice
1/2 fresh pineapple (peeled, cored and finely chopped, then chilled, about 1 1/2 cups)