Hi

As per previous year cutoff ranks in CGPET, with a rank of 6220 you have low chances to get any Government Colleges through CGPET. Even the last ranks in Government Colleges close around 5k rank(considering your category rank too) last year.

Also do check this link to get a better idea which colleges you can get according to your profile: https://engineering.careers360.com/articles/cg-pet-cutoff.

Best of Luck.

Hope this helps.

Cheers!