http://research.stowers-institute.org/mcm/venn.html

I don't know if R can handle 6 different sets. theere are some programs there that might be able to handle them.

Thanks Leonardo.So far I have found a way in R to have venn diagram for 5 sets.I look for another representation of my data.

Well, you can allways make 6 sets of five.

[A, B, C, D, E]

[B, C, D, E, F]

[A, C, D, E, F]

[A, B, D, E, F]

[A, B, C, D, F]

[A, B, C, E, F]

A 6-set venn diagram is never going to look very nice or be very easy to interpret, but here is an R package that can do up to 9 sets: https://github.com/js229/Vennerable

It is called Vennerable.

R provides multiple packages for creating venn diagrams. A good one is gplots (https://cran.r-project.org/web/packages/gplots/vignettes/venn.pdf ). However depending on what you want/preferences you might want to choose a different package, such as Vennerable, VennDiagram , Venneuler, etc This link gives a small overview+tutorial https://rstudio-pubs-static.s3.amazonaws.com/13301_6641d73cfac741a59c0a851feb99e98b.html 

bioinformatics.psb.ugent.be/webtools/Venn

It allows the creation of Venn diagram both from uploaded files or from list, but only for 5 list.

For more files, it creates a txt file

http://www.interactivenn.net/index2.html  that can be helpfull