The employees appear to discuss instances in which the company concealed such problems from the F.A.A. during the regulator’s certification of the simulators, which were used in the development of the Max, as well as in training for pilots who had not previously flown a 737.

“Would you put your family on a Max simulator trained aircraft? I wouldn’t,” one employee said to a colleague in another exchange from 2018, before the first crash. “No,” the colleague responded.

In another set of messages, employees questioned the design of the Max and even denigrated their own colleagues. “This airplane is designed by clowns, who are in turn supervised by monkeys,” an employee wrote in an exchange from 2017.

The release of the communications — both emails and instant messages — is the latest embarrassing episode for Boeing in a crisis that has cost the company billions of dollars and wreaked havoc on the aviation industry across the globe. The Max has been grounded for nearly 10 months, after the two deadly crashes. A software system developed for the plane was found to have played a role in both accidents, and since then the company has been working to update the system.

There is still no indication when the Max might be cleared to fly again, as the company and regulators continue to discover new potential flaws with the plane.