PB and J Bread Crust Pudding

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4 cups whole milk

6 large eggs, at room temperature

1 cup creamy peanut butter

1/2 cup sugar

1 tablespoon vanilla extract

1/4 teaspoon salt

1 cup of your favorite jelly, jam, or preserves

8 cups coarsely chopped bread crust, from 1 (20-ounce) loaf white bread (or the same amount of day-old bread)

Unsalted butter, for greasing pan