Venn diagrams are often used for datas with less than 5 sets
i found some figures are insteresting, but don't know how to draw figures like this:
Venn diagrams are good when it is visible all possible overlaps between every set. It gets tricky once you have more than 3-4 sets, maximum of 11 can be done - http://www.wired.co.uk/news/archive/2012-08/10/11-set-venn-diagram
For more than 4 sets I use VennMaster which does a reasonable job of approximating proportional overlap. See Tool To Generate Proportional Venn Diagrams? for all kinds of other Venn diagram suggestions.
You can also use chord diagrams. See d3.js and Circos.
The two figure I attached show overlaps between 10 sets, 22 sets. i think it is impossbile to draw venn diagrams for so much sets.
It's worse than that: it is impossible to draw exact, area-proportional Venn (Euler) diagrams with circles for even three sets, though approximations are widely available. By loosening the circular constraint of an Euler diagram, a group at Microsoft Research came up with a fan-shaped diagram (also called a "ConSet") that provides precise area-proportionality. Their paper describes the issue in more detail: http://research.microsoft.com/pubs/64283/iwc2007-conset.pdf