Ok, finally got a full set so I can start being a better Samaritan.
So, first: my extra eggs:
O - 7
L - 5
E - 1
(seem to be common letters, but if you need them, feel free to ask)
Second:
Tenburo's summaryAccording to Tenburo, you should turn your eggs in to the shrine BY MONDAY (i.e. you offer them at the shrine one by one)
There seems to be no advantage in getting multiple sets, other than the intrinsic value of the eggs as artifacts.
so
don't be greedy for no reason!Third,
If you haven't found all the eggs yet,
Varst seems to be correct in his hypothesis about which battle sections yield which eggs:
Arena: S - W - A
Grindfest: N - F - K
Item World: O - L - E
So if you're in a bind, grind the applicable section.
I hope this summary helps somebody =)
Good Luck