Hey there!

Nothing can be said with surety, as cut off change every year. But if we go by the trends in the cut off in the recent years, then with your ews rank of 14262, you do have some chance of getting admission in NIT Calicut or maybe NIT Tiruchirapalli, and one or two more NITs. In these NITs, for some branches, ews cut off has been around 12-13k. So, if cut off decrease slightly this year, you may have a chance.

To get better idea of college ypu can get intobased on your jee main score, you can use the jee main college predictor tool. Here's the link for that - https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer