Beat egg whites and water in a bowl until blended. Add nuts to egg whites, stirring to coat; drain in a colander.
Combine sugar and next 3 ingredients in another bowl. Add nuts, in batches, to spiced sugar, shaking bowl to coat nuts. Transfer nuts with a slotted spoon to a large rimmed baking sheet lined with parchment paper, spreading nuts into a single layer.
Bake at 300° for 30 minutes or until coating is crisp, stirring after 25 minutes. Cool completely. Break big clusters apart. Store in airtight containers.