Hi Shatrunghn,

             With a rank of 14578, it is quite difficult to get a seat in NIT. But you may try for NIT in eastern states like Assam etc. You may get them in the 6th or 7th round of JOSAA Counselling. Do fill in all possible NITs with all branches in your counselling process. You can also try for good private colleges with your rank. All the best!!

Dear aspirant, you have chances of getting NITs but may not get good branch. So also try for top private colleges which accepts JEE Mains rank. 

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

https://engineering.careers360.com/articles/jee-main-cutoff/amp

Click above links for more details. 

Thank you. 

Dear candidate......

Well, you may get admission into some of the NITs in specific branches only as per your OBC rank. You may get into NIT BHOPAL, NIT CALICUT, NIT PUDUCHERRY, NIT ARUNANCHAL PRADESH, and some other. But you should apply for the NIT in your own home state so that the chances of getting admission are high. There are also several private engineering colleges that you can apply for getting your desired branch.

Hope this helps you out......

All the best:)