Hey there, you score 376 marks in NEET and you belong to OBC Category. Really that will be very helpful to you while taking admission in Government College as some special seats are being reserved for each and every special reserved category. Yes, with these marks you can take admission in government medical college but you will have to see the cutoffs list for this year as there is a lot of variation in cutoffs for some medical colleges due to various factors. 

 I would personally suggest you use the NEET Predictor and explore various colleges according to your category and home state quota and choose the best one for you as this college will be your future lifeline.

https://medicine.careers360.com/neet-college-predictor?icn=neet-clgpd_landing-page&ici=prediction-section_c360-home