The date on eggs is a Best Before date not a Use By date so not meant to be an indicator of safety, just that they might not taste as good after that date. They are generally safe to eat for many weeks after that date. The float test is the best way to test if they are safe to eat so you are good to go! 
You would know if they had gone off as soon as you cracked into one though, as the revolting sulphur smell would be overpowering!