Are you asking for KIT's College of Engineering, Kolhapur?
Yes, it takes admission through MHT CET.
You can take admission in government and private level colleges of Maharashtra through MHT CET.
To check the complete list of colleges you can refer below link
https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-India-accepting-mht-cet-score
According, to the latest changes in MHT CET 20% weightage in the MHT CET exam will be given to 11th standard syllabus while the remaining 80% weightage will be given to 12th standard syllabus.
The difficulty level of MHT CET will be raised and be almost equal to JEE Main.
The approximate number of questions based on 11th class will be 10 and from 12th class will be 40.
Good Luck!!