With 4 doctors, we could do a multi-station setup like they do in group sports physicals. Each doctor does a single station that covers just a portion of the body. For example, station 1 HEENT, station 2 heart/lungs/steth work, station 3 cardio, station 4 abdomen/genital/rectal. That's just an example, the doctors could decide what each station covers. Then each patient would start with station 1, get examined, then move to the next station and so on. Then the next patient would do the same, etc.
An alternative would be to have multi-stations, but run all patients through the 1st station, then they all move on to the 2nd, etc.
This multi-station setup is really the basis for my "Jim's group physical" story:
http://www.zity.biz/index.php?mx=forum;ox=display;topic=18251.0
It has the advantage of only 1 thing going on at a time, so in a single chat room, everyone (doctors and other patients) can enjoy what's happening without things getting too confusing.
Anyway, that's my initial thought, but this could be done in a lot of different ways.