I would hope you are just selling to friends because of the sanitation issues.
A hot water bath is 15 to 25 minutes of continous hard rolling boil, but you also must make sure your jars are sterileized and lids and so forth. The eggs will not turn brown but they will putrify quickly if any bacteria is present and then you are in for a world of hurt. We only make eggs for us and a few close friends who we trust will handle the jars carefully.
Good luck.
Lori