So if you crack the nut at injector #6, does the sound go away?
And sorry I was not very clear- What you need to do is swap #6 new injector with any other injector that you know is not making the sound, say #1 because its easy to reach. The problem with using an old injector is that it might be chattering the seat just like the new injector that is in question. if #1 does not make the sound and you install that injector in #6 hole and the sound is still in #6 the you have eliminated the injector as the culprit.
I have only seen a bad line cause a noise 1 time, but there was visible dent in the line causing an obstruction.
Try using the screwdriver stethoscope (a real mechanics stethoscope works a lot better) to listen at the valve cover and then at the block down close to the oil pan and about 1" below the head at #6. possibilities are lifter, pushrod, rocker arm, rocker arm button, wristpin, or rod bearing. The rod bearing is usually obvious it is down so low in the engine. a wrist pin sounds like a sharp exhaust leak. Any of the others will be heard I the valve cover, and all require removing the cover to chase it.
How outstanding is the noise? Is it 170k miles on this engine?