Hi aspirant, since you have 91.23 percentile with rank 27436 so on this rank you may most probably not get any IIIT but it is sure that you can get NIT and other GFTI's for sure. So basex in your rank I'm mentioning the colleges below you can get on this rank.
Etc.
For predicting more colleges I would like you to refer you college predictor tool by careers360(link mentioned below);
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good Luck.
College Comparison based on Courses, Placement, Rank, Fee
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile