Ground it. True earth ground, if you do not know what that is and have ability to test that it is a good ground, get someone who does to provide the ground. Try it on another power circuit, test the circuit itself with a meter. I suggest a dedicated cicuit with a dedicated ground for all voice systems. Typical computer power circuit, often orange colored three prong power outlet is common for this type of circuit.
If that does not work, disconnect the exts. one at a time and reboot, retest, if still issue, eliminate 308 retest, and 2 slot carrier retest. Whatever disconnected eliminates the issue will probably need to be replaced.
Use the cords that came with the new phones, if not new phones, get new cords, 2 pair cords at least.
You do not always get what you pay for, but you never get what you do not pay for.