I also have a 2004 330ci E46 which turns out has the same original 0221 504 100 bosch made in germany coils. Which by the way have a silver cylinder section unlike the all black new ones 0221 504 470 made in Solvenia which do not work.

I swapped in a 0221 504 100 coil from my e46 to the e70 and everything is good ... no DME codes. By the way the one bad coil caused these three DME codes 2E28 29CC 29D1.

I went online and checked via Amazon the 0221 504 470 are the current offered part number for both my E46 and E70 three of which failed for me.
First one was from seller bosch on amazon, next two via RMEuropean whom I trust.

I have now ordered two used 0221 504 100 ones via ebay. I will now go stick a 0221 504 470 (new bad one) in my E46 and I expect it to also fail (miss) there too. I have a email into bosch corporate, I will post again as I learn more. Whew the multiple bad new coils caused me a good bit of trouble I as I assumed they could not all be bad. I should have swapped coils in diagnosis early. The three fault codes also had be worrying my problem was more than just one bad coil.