Several Tories say they will vote against a bid to enshrine an exact date for Brexit in law.
But critics warn the European Union withdrawal bill - also known as the repeal bill - represents a power-grab by ministers, while others see the legislation as a chance to shape the prime minister's Brexit policy. Nick asked one of them: Are you a Brexit Mutineer? Another Twitter user said the article only "serves to divide the Tory party further, making Brexit harder to get through the house".
Pro-Remain MP Anna Soubry calls the Telegraph front page a "blatant piece of bullying".
"Named and shamed" MPs include Nicky Morgan, the former education secretary who now chairs the Treasury Select Committee; Sarah Wollaston, who chairs the Health Select Committee; Dominic Grieve, the former attorney-general; and former Chancellor Ken Clarke. She tweeted alongside a picture of the story: "The bullying begins".
Bob Neill, the MP for Bromley and Chislehurst, is one of the Tory MPs named and he dismissed the front page as "ridiculous".
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Mr Hammond told BBC Radio 5 live the bill, which is now being debated line-by-line by MPs, was "the most important constitutional thing we will do for 50 years" adding: "We might as well do it right". "We will work constructively for the best Brexit possible - that's our duty - and what parliamentary democracy is all about".
Brexit minister Steve Baker, who spoke for the government in Tuesday's debate, tweeted: "I regret any media attempts to divide our party".
"My Parliamentary colleagues have honest suggestions to improve the Bill which we are working through and I respect them for that", Mr Baker said.
Heidi Allen, a Tory MP also pictured on the newspaper's front page, tweeted: "If fighting for the best possible future for our country and our government is considered mutiny - then bring it on".
He said: "I have to say I find this amendment by the government so very unusual, because it seems to me to fetter the government, to add nothing to the strength of the government's negotiating position, and in fact potentially to create a very great problem that could be brought back to visit on us at a later stage".
In the first skirmish on the repeal bill on Tuesday as Eastern Eye went to press, Labour was seeking a vote on an amendment that would extend Britain's membership of the EU's single market and customs union, and the jurisdiction of the European Court of Justice, into a transition period.