Hi, you can get into atleast any of the NIT  with this rank but not IIIT. Likewise Yo can get NIT on this rank but where is the problem then? The problem will start arising while selecting branch may be you would not get the branch you want to have so there you may have to come up with these kind of problem. You can positively go to GFTI as there are more chances that you may get your favourable branch there . So choose accordingly remembering all the possible outcomes.

By the way  you can also take help of Careers360 College Pedictor to to predict your college on behalf of your rank you have got(link mentioned below); https://engineering. careers360.com/jee-main- college-predictor?icn=QnA&ici= qna_answer

Good Luck.