Rail pressure relief valve is most likely, injectors second.
There is no shutoff solenoid. The injectors are electronic, when the key is turned off it cuts power to them.
I have a nasty feeling you’ll be in for the trifecta of relief valve, injectors, & a pump. We had CS56s on the last job and iirc it happened on a couple of them. We found the root cause to be water in the fuel tank.
Has the fuel tank ever been drained of water to the best of your knowledge.? If not then maybe start there. It’s not going to fix anything but it will stop nasty things happening to the new replacement parts that you end up fitting.