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The list was handed over to the presidents of both Houses of Parliament.
Warong said the 2017 Constitution had been endorsed in a referendum involving 16.8 million Thais, adding that amending the charter will not help the general public, but will be advantageous for politicians.
He also threatened to take the case to Constitutional Court if Parliament did not listen to them.
Meanwhile, on Tuesday, rights group Internet Law Reform Dialogue (iLaw) marched to Parliament to hand in a formal petition to sponsor its motion for charter change.
The petition contained the signatures of 100,732 voters. Under Section 256 of the Constitution, 50,000 signatures are needed to have a draft amendment considered by Parliament.
iLaw manager Yingcheep Atchanont said on his Facebook page later that his organisation is not going to organise a protest to pressurise the National Assembly into rewriting the Constitution.