So something like The Grafton Clinic. With a website and shared receptionist and rent and probably covering for each other.
Tax wise, there is no problem.
You would have to make it very clear that they are all separate individuals. If one is sued, they will probably all be sued. Of course, you will be able to say that they are separate but you will spend a lot of time and legal fees in court showing that you are separate.
The name would be important. The Grafton Centre.
I imagine other medical professionals do this. Talk to them before doing anything to see what problems they encountered.