Skip the valve adjustment....

Miles? Age?

Do you have BMW software and cable? I believe there may be a way to look at injector timing, etc, to see if something unusual is going on there. There is a gernman terms called "Running Unrest".. a measure of the acceleration of the crank after each firing, a measure of unbalanced cylinders. Ive used this to track down bad coils.

NOTE. I had a bad coil in an s62, when I switched positions the problem moved but NOT precisely. This is because the algorithm is inductive (it looks at crank motion, and decides what coil must have caused the lack of accel) ...not an email from Cyl 1 saying "i am bad"... your issue may be the coil prior to that cyl (in the firing order) causing the DME to misdiagnose the source of the misfire... by finding the firing order and choosing your coil swaps, you can get better diagnostics