Hey Niharika
Here is a list of NLUs and their respective cut offs for the general category for admission through CLAT in the previous year. You can expect a similar range of cut off ahead too. Considering your rank is 14406 your chances don't seem much.

National Law School of India University
66
National Academy of Legal Studies and Research
135
National Law Institute University
386
West Bengal National University of Judicial Sciences
260
National Law University Jodhpur
376
Hidayatullah National Law University
657
Gujarat National Law University
494
Ram Manohar Lohiya National Law University
668
Rajiv Gandhi National University of Law
924
Chanakya National Law University
1186
National University of Advanced Legal Studies
928
National Law University Odisha
1167
National University of Study and Research in Law
1255
National Law University and Judicial Academy
1556
Tamil Nadu National Law School
1571
Damodaram Sanjivayya National Law University
1432
Maharashtra National Law University, Mumbai
503
Maharashtra National Law University, Nagpur
1532
Maharashtra National Law University, Aurangabad
1588
You can go for private colleges accepting CLAT scores for admission instead.
There are various Private Colleges that accept CLAT scores other than the National Law Universities. Here is a list of a few of them.

Jindal Global Law School, Sonepat
Kirit P. Mehta School of Law, Mumbai
NIRMA UNIVERSITY, Ahmedabad
ICFAI Law School, HyderabadSchool of Law, GITAM University, Visakhapatnam
Alliance School of Law, Bangalore
IFIM Law College, Bangalore
LLOYD Law College,Greater Noida
Amity University, U.P.
Asian Law College, Noida
Manipal University, Jaipur

Hello Niharika
Since you have obtained a rank of the 14.4k which is really high for a general candidate in the field and entrance exam of Law, I am sorry to say that you won't be able to take admission in National law University.
You may be able to get admission in some other private or Government colleges through CLAT but your chances are getting admission in NLU are very very less.
So, it's better to try for some other colleges.
Good luck

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