As per your rank and category you have chances to get in NIT's. The following colleges are having you to get a seat for you, have a glance :

1. NIT Delhi
2. NIT Goa
3. DTU
4. NIT Uttarakhand
5. NIT Rourkela
6. NIT Caculit

Follow the below link for more details about colleges :

Hi.

Since you did not mention your Home State, it will be assumed that you going for Other State quota in all NITs. You will not be able to get into major of the NITs with such a high rank even in GEN-EWS, but you may have good chances under Home State quota.

You can use our College Predictor tool for JEE Mains to help you in finding college and branch of your choice based on your merits in the exam.

Good Luck