Hello Vasudevan,

Yes, with  816 overall rank in MBC category in TNEA, you can get courses like mining engineering, civil engineering and other branches in MIT/CEG. You can check with last year's cutoffs to get an idea about which colleges you may get with your rank:

https://images.careers360.mobi/sites/default/files/TNEA-2018-ROUND-1-Opening-Closing-Ranks.pdf

Note that college code for CEG is 0001, and for MIT it is 0004

Best Wishes!