Tit, Tut, Tet, Tot

Defined that $tit, tut, tet$ and $tot$ are sets which have these following properties:

1. Not all sets are disjoint
2. Intersection of the joint sets have 9 elements
3. 14 elements only belong to $tit$ , meanwhile $tot$ has 22 elements in total
4. $Tut$ has two elements more than $tot$ does
5. $Tit$ and $tut$ intersect each other with 10 elements included
6. Twice the number of elements the intersection of the joint sets have are $tut's$ but also belong to other two sets
7. Every $tet$ is $tit$ , but 16 of $tit's$ aren't $tet's$ . An eighth of this quantity is $tit's$ and $tot's$ at once, but not $tut's$

If $tet$ has 10 elements and the universe equals to the four elements. How many elements are there?