Sorry to say but you didn't scored enough to get seat in NIT as the cut offs for NITs for any branch is very high as compared to other colleges If we have a look on previous year cut off in general you need to score below 50k to get into NITs and below 20k to get into top NITs with you desired branch and as long as seat in other collgese linked with jee mains are concerned you might get admission but you wouldn't be able to get top branches like CSE and ECE though you have scored a very good percentile in your board exams but from 2016 jee main do not include board marks in calculation of rank so your 12th percentile wouldn't be benificial for you here , the cut offs aren't announced yet so need to wait for that but till than you can see what colleges you might get with this rank with the help of our jee main college predictor you just need to enter your rank your category,your home state and your desired branches and you're good to go . I am providing you the link 

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