Hello Aspirant. I hope you are in good health. Its really difficult to predict exact range of rank where you may end up as cutoff trend and common rank list varies significantly each and every year. However, as per your results, your rank may be around 16414. If the exams are simple/hard then actual ranks can differ in a higher margin. Moreover, you haven't mentioned your caste so I assume you are a General (State Merit) candidate. According to previous years' data, you may have good chances in few public/government institutes such as:

1. Sree Chitra Thirunal College of Engineering, Thiruvananthapuram
2. Government Engineering College, Wayanad
3. College of Engineering, Chengannur
4. Government Engineering College, Idukki
5. LBS Institute of Technology for Women, Thiruvananthapuram
6. College of Engineering, Adoor
7. College of Engineering, Thalassery
8. College of Engineering, Perumon
9. University College of Engineering, Kariavattom
10. College of Engineering, Vadakara

and more...

If you want to know your eligibility in various colleges based on your performance at KCEAM, feel free to use KEAM 2021 College Predictor:

https://www.careers360.com/keam-college-predictor?ici=cp-listing_root&icn=KEAM-College-Predictor

I hope this information helps you out. If you belong to any other category, please comment below.

Thank you and all the best for your career and future.