Hope you are doing well.

On the basis of your percentile obtained your predicted rank must lie between 75219 - 87369. According to your predicted rank there seems very less chances of yours to get a seat in top NIT's. The rank you obtained does not come under the closing rank required to get a seat in top NIT's when compared with previous years closing rank. But in lower NIT's there are chances you may get a seat in lower branches . You can also visit the link below to see previous year closing rank of different NIT:

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

Moreover, you can also use career360 college predictor tool which will help you to predict colleges you are eligible. Here is the link for career360 college predictor tool:

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope this will help you!

All the best for your bright future!