When I worked at an AIDS project with a food pantry, we got donations of expired eggs directly from the farms, and I am here to tell you - a palette of eggs 6 weeks past their expiration can sit in an unrefrigerated (but cool) warehouse for another 2-3, get distributed, and still be reliably OK.
...So long as you know where the eggs came from and how long it'd been since they were washed, which is what starts the real timer.