One man was seriously injured when the side of the vehicle burst open as it drove around a corner, Berlin police said.
The other 10 players were taken to an area hospital where they were treated for their injuries and later released while the truck is being inspected for technical defects as part of a police investigation.
Investigators said there were "no findings to suggest anyone famous was involved."
Filming, which began last month, was halted following the Sunday accident.
Police said they did not know whether there would be further delays as a result.