Greetings!

At your rank it is going to be difficult to get into top 5 IIITs. Mainly because a good chunk of IIITs do not have reservations of any kind, it is because they are "semi-government" and are made from something called "Public-Private Partnership"

This is why they are not bound by law to have reservations, and therefore many don't have them. Now not to say that you can not get any IIIT, many IIITs to have reservations and you can get them at your rank. Say for example IIIT Vadodara, but I really wouldn't say that it belongs to "top 5 IIITs" . For more on this you can use following college predictor.

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

~Sach Thadani