Read a thread on a forum, P2096 and P2098 are common for high mileage E53's, and there's a service technical bulletin on reprogramming the DME to eliminate such codes. One owner claimed the reprogram worked great after throwing tons of parts into it and not any improvement. Others, kinda keep scratching their heads as codes just keep coming back.

One thread mentioned it might due to exhaust leak. Let me know if you find a way to test it. I'm currently having P2096 code that doesn't go away.

Good Luck, and I'm subscribing.

Lei

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01' 3.0i E53 (M54) with 164,000 miles
07' 3.0si E83 (N52) with 134,000 miles
08' 3.0si E70 (N52) with 91,000 miles