If everything else fails, you can always compile perl-5.6.2 statically in a virtual machine or container with an old Ubuntu version and then copy it to whatever Linux system you want to run it in.

Linux kernel is quite good at backward compatibility, so it would probably work.

On the other hand, I am not sure a statically compiled perl would be able to dynamically load modules or maybe you would need to fiddle with the linker flags to allow that.