My rank is 7693 n general category
It is difficult to predict any college as you have not mentioned the state you belong to or the state where you want admission .But anyways your neet score is really good.
If I consider previous years records, then the chances are decent to get admission in any of the government medical colleges under state quota.
Browse the link given below to check the college you can get on the basis of your marks-
http://www.medicine.careers360.com/neet-college-predictor
This is just a prediction based on previous year records. The result may vary this year.
Hope this helps,
Regards!