Sorry but getting NITs would be a bit difficult for you as being a general candidate you need to score more than 97% in mains to get a seat in NITs. However if you have state quota in any NIT then you can get admission there. 

Apart from that you have options of private colleges, you can easily get a good private college with this rank to know more about it kindly go through the below given link of jee mains college predictor.

https://engineering.careers360.com/jee-main-college-predictor

Hope it helps.

Thank you

Hey
Firstly congrats for such a wonderful score
You have a good chance of getting NIT college. Although we cant comment on the branch you'll get.
For previous year cutoffs of NIT you can refer to the following link
https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp

For other available colleges with your percentile you can refer to the college predictor link below
https://engineering.careers360.com/jee-main-college-predictor
Hope this solves your query.
Good Luck!