HI, aspirant since on behalf of rank I can only say that you can surely get any top NIT and if you want to go for IIIT  you can easily enter in any of the IIIT institution. So here I'll provide some NIT's and IIIT's which will suitably fit into your obtained rank, so here is the list;

IIIT;

• Indian Institute of Information Technology, Allahabad
• Indian Institute of Information Technology Design and Manufacturing Jabalpur
• Atal Bihari Vajpayee Indian Institute of Information Technology and Management Gwalior
• Indian Institute of Information Technology Design and Manufacturing Kurnool Management Gwalior
• Indian Institute of Information Technology Dharwad
• Indian Institute of Information Technology Kalyani
• Indian Institute of Information Technology, Kota
• Indian Institute of Information Technology, Kottayam

NIT;

• NIT, Trichy
• MNNIT, Allahabad
• NIT, Jamshedpur
• NIT, Durgapur
• NIT, Silchar
• MANIT, Bhopal
• NIT, Calicut
• NIT, Calicut
• NIT, Delhi
• NIT, Kurushetra
• MNIT, Jaipur
• NIT, Warangal
• NIT, jalandhar

Etc.

Moreover you can predict your own college by yourself also through Careers360 College Predictor tool(link mentioned below) according to your rank in any category;

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

Good Luck.