Yes, with a rank like this, you have a chance of getting into a government medical college. If we look at the previous years cut-offs, you fit in to the category of getting a seat.
So, I'll leave a link here having a list of all the government medical colleges with their cutoffs, fees etc.
https://medicine.careers360.com/colleges/list-of-government-medical-colleges-in-india-accepting-neet-ug
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