Haven't used moldy eggs so I can't answer that question but I can offer some advice on keeping that from happening. I use a vacuum packer, the Costco variety, and have had vacuum packed eggs last for over a year looking just like the day they were packed without freezing. Don't put too much of a vacuum on them though or you'll implode some of the eggs. After you vacuum pack them just put em in a cool dark place to store.
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Mark Strand
aka - TC