Wow... first she tries setting up a store in the Nether, then she tries transporting the most valuable materials in the game through the Nether? The fact that she is willing to take any quantities at all of those items into a PvP area hints that she might find it... unusually... easy to find those items. And the sheer numbers of diamond blocks and golden apples is incredible. But instead of basing bans on how unusual or incredible something might seem at first glance, let's look at some statistics.
According to
the wiki, only 1 in 125 dungeon chests has a golden apple, so 1 in 62.5 dungeons has one (assuming the best case scenario of each dungeon having two chests). This means that
getting 122 golden apples would require searching through around 7625 dungeons. According to
this thread on the minecraft forum, there is an average of one dungeon in 46.5 chunks; since a chunk is 16 blocks long and 16 wide, this means one dungeon in every (46.5 * 16 * 16) 11,904 blocks in the X/Z plane. Our current map is 10,000 x 10,000 blocks in the X/Z plane, or 100,000,000 blocks total. Thus,
we should expect our current map to have (100,000,000 / 11,904) = 8400 dungeons. If we are to assume that lizzy's items are legitimately obtained, then we must conclude that
she legitimately searched (7625 / 8400 * 100) = 90.77% of our server's dungeons, plus any that had already been searched by other players by the time she found them.
I feel it is unnecessary to offer my own opinion about whether this is feasible--I trust anyone reading this will be able to draw their own conclusions.
The Greymarch has ended.