"The plane crashed at 1:30 am (0030 GMT)... With 11 people on board - three doctors, two patients and six crew members," spokesman Mongi El Kadhi said.
He said there were no survivors from the accident in the Grombalia area, 40 kilometres from the capital.
"The whole plane was completely burnt out. The emergency services went to the crash site and recovered the charred bodies."
Shortly before the plane disappeared from radar screens, the pilot radioed the control tower at Tunis airport to say an engine had failed, emergency services told an AFP journalist at the crash site.
At daybreak, teams began searching for the aircraft's black box flight recorders in a bid to establish the cause of the crash.
There was no immediate word on the identities of the two patients on board or why they were being flown to Tunis.
The aircraft was a Soviet-designed twin-propeller Antonov-26, Tunisia's Mosaique FM radio reported.
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