Hi,

With 66.89 percentile, your Category rank would be around 7500+ . With this Category rank it is very Difficult to get any IIITs or NITs as most of the IIITs has cutoff rank of around 3700. I would suggest you to go for GFTIs or Self Financed Institute in JOSAA Councelling. To know more about what college you get ,you can use the following tool :

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

Thanks!!!!