The Labour rebels joined forces with Liberal Democrat leader Sir Vince Cable and two of his MPs to warn of the “dangers” London faces when the UK leaves the European Union.
In a letter to the Independent, the MPs call for a “people’s vote” on the final deal, which gives people the chance to overturn Brexit.
They also urge a deal that keeps the UK in the customs union and single market.
The letter reads: “The terms on which we leave the EU have never been put to the public.
“When the Prime Minister brings back her Brexit deal later this year, we will finally know what Brexit means. And a decision will have to be made as to whether we accept it or not.
“It cannot be right that 650 MPs alone decide whether to accept the deal, without any say for Londoners or people across the country.
“That’s why we think it’s essential that there is a People’s Vote on the final Brexit deal, so that 65 million people can have their voices heard as well.”
They also warn of Brexit damaging the capital and that London “represents all the most positive elements of being global, outward-looking, welcoming and tolerant, but that was all at risk if Brexit went badly”.
Adding: “The Government has a mandate to negotiate a Brexit deal.
“What the Government absolutely does not have is a mandate to force a bad Brexit deal on our city that could damage London for generations to come.
“So much of the economy of London relies on being in the single market and the customs union and on freedom of movement.
“From the tech sector to finance, from construction to culture, London benefits hugely from being part of a larger European market.
“Outside of this European market, our city will suffer.”
Among the 16 are regular Corbyn critics Mike Gapes and Wes Streeting, plus others including Rushanara Ali, Margaret Hodge, David Lammy and Tulip Siddiq.
They represent a third of the 49 Labour MPs in London.
It comes the day after 10 Welsh Labour MPs called for a second referendum, including Anna McMorrin and Tonia Antoniazzi, who are Parliamentary private secretaries to Shadow Cabinet members.
Mr Corbyn, who is also a London MP, has repeatedly said Labour does not support a second national poll and fired Owen Smith as shadow Northern Ireland secretary for proposing one.
Other Labour backbenchers who have called for a second referendum on the Brexit deal include MPs in the North East.