I have got 16496 obc rank in which northern universities I can get cse including private universities

You can get central universities like HNBGU, Mizoram University, Gurukul Kangri, NEHU Shillong, etc.

You can join Gurukula Kangri Vishwavidyalaya, Haridwar for electrical branch and for CSE, the closing rank is 11000 for first round, IT for Mizoram University. Best of luck.