There were no casualties or any injuries to the 199 passengers due to the incident, the SpiceJet said.
The flight scheduled for New Delhi suffered a suspected tyre burst at the time of take off, the airlines said.
"The crew decided to turn back and landed safely at the Chennai airport. Passengers were deplaned safely in a normal manner and taken to terminal building", it said.
"Aircraft landed safely but with another tyre burst on starboard side. All 199 passengers on-board safely deplaned and returned to terminal", it said.
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Following the incident, the main runway was partially shut as the aircraft got stuck in the taxiing area.
"Due to damage to main runway and aircraft stuck in taxiway near the runway, the same will not be available for operations for at least three hours", it said.
Meanwhile, GoAir airlines said due to runway closure two of its flights bound for Mumbai and Cochin got delayed.
Airport sources said there was delay of as many as 13 flight departures and 14 arrivals at the airport, one arrival was also cancelled.
Two flights were diverted to Bengaluru and another to Tuticorin, they added.
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