What are the statistics and mechanics behind the Spawning of Presents from the 2014 X-Mas Trees?

Apparently the 2014 X-mas trees in Clash of Clans spawn presents. The trees give you 50k gold surplus when removed and are able to spawn presents which in turn are worth 5k Elixir. Also, a friend of mine just told me that he got 25 Gems from the tree.

What I did not find when searching for it is how the spawning of presents works in detail. The only data I found was that a tree can only have 5 presents around it at a given time. This is mentioned in an answer to the question "Is there any benefit to removing the X-Mas tree from my land?" but wrong. I raided a base which had three trees with two times seven and once six present around them.

Does each tree have its own spawn chance?

Is there a total limit of how many presents any given tree can spawn in total?

Solution 1:

I've had a tree for about a week and a second for about 4 days and never have I gotten a present after the first spawned one

Solution 2:

I have only had one tree, and only one present, which I claimed immediately. I have people in my clan with two trees, one of which has two presents. Must be totally random, but kinda annoying many of us have only had one tree when others are getting multiple of both...

Solution 3:

The first tree I got spawned about a week ago I tapped the present unknowingly taking the 5k elixir, no other presents have spawned on that tree since but I got another tree with yet another present, I will be patient with this one and see what happens once the Xmas update is over.