Hi Aspirant!
According to previous year cutoffs and trends of last round you can not get admission in any NIT as maximum rank to get into lowest NIT is around 12876 but your rank is above that hence it would be impossible for you to get into NIT.

Please note that I made this conclusion on the basis of OBC -NCL CATEGORY WITH OTHER state quota.You can try your luck chance with your home state or go for IIIT GFTI or for CSAB special cousneling.

You can follow these Career360's articles for a better understanding of cutoffs.

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

IIIT: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

GFTI: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis

Also, you can follow up this Career360's article for more information on CSAB SPECIAL COUNSELLING:

https://engineering.careers360.com/articles/csab-special-round-for-nits-iiits-and-gftis

Also don't forget to check out the Career360 College Predictor to know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

HAPPY HUSTLING!