14289 rank is quite a good rank to get a seat in good college. Now going by last year's cutoffs, you have good chances of getting B.Tech Ceramic Technology, Biotechnology, Geoinformatics, Metallurgical, Naval Architecture and Marine engineering in Andhra University College of Engineering, Information Technology in Velagapudi Ramakrishna Siddhartha Engineering College, Electrical and Electronics Engineering in G Pulla Reddy Engineering college etc and many more colleges based on your rank. So I would suggest you to use the Ap EAMCET college Predictor tool to know more about your chances