If you qualify as Home UK and BAME student, then we have an opportunity for a PhD position at the University of Reading to be considered under the CROCUS-DLA: https://blogs.reading.ac.uk/crocus-dla/bame-home-scholarships/
The difference between the BAME Home Scholarship and the project-based studentships is that there is no preset project for the BAME scholarship and you will need to develop your own proposal as part of the application process.