It won't be easy to get into a good NIT, IIIT or GFTI with this rank. You should opt for private colleges. However do fill choices in JoSAA portal for top as well as low NITs to get a branch.

Following are some best private engineering colleges.

1. BITS Pilani
2. VIT Vellore
3. SRM University
4. KIIT
5. Thapar University
6. Manipal Institute of Technology
7. Lovely Professional University
8. Chandigarh University
9. RV College of Engineering
10. BITS Mesra
11. DA - IICT
12. KJ Somaiya College of Engineering

For more information regarding previous years' cutoff follow this link: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

However you have a chance to get a list of prescribed colleges against your rank. You just need to use JEE MAIN COLLEGE PREDICTOR. Click the link below, put necessary information and get result instantly.

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

All the best.