Two men, aged 30 and 41, have been removed from the aircraft and taken to a police station for questioning, Essex Police said.
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Rashan Charles, 20, died after being apprehended by Metropolitan Police officers after running into a shop in Dalston, east London.
The House of Commons Commission will consider how long the bongs should be halted following concerns raised by a number of MPs.
The chimes are being stopped to allow extensive renovation work to the Elizabeth Tower, the Great Clock and its bell.