Where do i have chances with a ST category rank 6 ?

Thanks for the question.

Congratulations for getting such an excellent ranking. You are easily going to get following nlu's -

National Law School of India University, Bangalore

NALSAR University of Law, Hyderabad

National Law Institute University, Bhopal

WB National University of Juridical Sciences, Kolkata

National Law University, Jodhpur

Hidayatullah National Law University, Raipur

Tamil Nadu National Law School, Tiruchirappalli

Rajiv Gandhi National University of Law, Patiala

National Law University and Judicial Academy, Guwahati

National Law University, Cuttack

National University of Study and Research in Law, Ranchi

All the best