Those DTCs indicate a corrupt PCM, which can be caused by the aftermarket calibration, low voltage to the PCM or high resistance in a PCM ground, or electromagnetic interference.
Start with inspecting the spark plugs, boots, wires, and coils. A failing ignition coil can generate enough EMI to cause those DTCs to set, especially cylinder 4 which is closest to the PCM. Adding forced induction wears the plugs much more quickly, and the combination of worn plug(s) and old/failing coils can induce this exact symptom and DTCs.