PA-28 Cherokee/Archer/Dakota/Pillan/Warrior
Flight Crew Flight Instructor; Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Commercial
Flight Crew Last 90 Days 240; Flight Crew Total 1250; Flight Crew Type 300
Distraction; Time Pressure
ATC Issue All Types; Conflict Ground Conflict; Critical; Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural FAR; Deviation / Discrepancy - Procedural Clearance; Ground Incursion Runway
General None Reported / Taken
Human Factors; Environment - Non Weather Related; Procedure; Aircraft
Traffic was busy; there were more than 5 planes in the pattern when approach handed us off to tower. The approach phase was uneventful; the incident mentioned occurred after our landing. Spacing got really tight between us and a Seminole before we exited the first taxiway from the runway; I turned around and saw a Seminole in ground effect about to land maybe 600 feet or so away from us before we got a chance to exit the runway and join the taxiway. This runway incursion should have never happened. Had tower asked us to slow down and put the faster Seminole in front of us; had the pilot for the Seminole performed a go around; or even if tower had cancelled their landing clearance. Had I taken even 5-10 more seconds to exit the runway I believe that plane would have hit me.
Instructor pilot reported an aircraft landed behind them on the runway before they had exited the runway.