"We tilted to the side".
One of the passengers, Fatma Gordu, told Turkish state-run news agency Anadolu the crash sparked panic on board the flight.
The Pegasus Airlines flight had taken off smoothly from the capital Ankara and landed in Trabzon, but skidded off the runway in the northern airport. "There was a smell of fuel inside so we all thought the plane will explode, but thankfully it did not happen", the passenger added.
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Everyone on board was evacuated safely, provincial governor Yucel Yavuz said. "There has been no loss of life or injury to anyone on-board", Pegasus said in a statement posted on their website, describing the event as a "runway excursion incident".
The cause of the accident was not yet known and the airport was closed for several hours while authorities investigated.
Meteorological data for the airport at around the time of the aircraft's approach indicates light rain and reduced visibility as a result of mist.