This is what the early sopherim did, and probably Ezra himself.
The teachers were called scribes (sopherim) or wise men; the disciples, pupils of the wise (Talmide Chachamim).
The two chief secretaries (sopherim) were Elihoreph and Ahiah.
What was done by the sopherim, and those with and for whom they worked, was done privately and without official sanction.
But it would be a council of sopherim, not of all the leading men of the nation.
They were the lines which the sopherim collectively agreed upon, for their own practice as interpreters and judges.