Jet2 said the group caused problems on a flight from Newcastle to Tenerife on Saturday.
The airline has banned three people for a year and is refusing to fly another three home from the holiday island.
A spokeswoman said the group had been drinking "illicit alcohol", which refers to alcohol bought before they boarded the plane.
The company said: "This group were rude and aggressive to our cabin crew after drinking illicit alcohol, and they should be in no doubt that the consequences of such behaviour will not be accepted.
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The company is asking for duty free spirits sold at airports to be sealed in bags amid calls for the government to review the issue.
This week, the BBC reported that there were 386 dangerous incidents in the UK in 2015 - compared with just 85 in 2013.
More than 250 million passengers pass through UK airports every year with close to two million flights.
Internationally, too, the problem of air rage seems to be growing.
A quarter of them mention drugs or alcohol as a trigger, the report said.
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