The '95 E300D has the 606.910.
All 60x engines use hydraulically-adjusted valves. No need to do manual valve adjustments like on the 616 and 617.
Also, yes, the 606 is a dual-overhead-cam engine, but the timing chain only winds around the exhaust cam sprocket, necessitating only one offset key (if it is even needed). The intake cam is gear-driven off the exhaust cam.

Good luck diagnosing your problem. My E300 (606.962) has developed what I would describe as a "lumpy" idle (not the typical, even diesel purr), could be delivery valves or injectors in need of balancing.

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99 E300 TD -- sold
01 540i 6 spd