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I've read a few articles in German about this, which contain quite a lot more information; the authorities are now seeking to reassure people that an initial attempt at obscuring the issues is being dealt with as a separate investigation. The police president (the German version of 'commissioner') has changed the procedure for investigating such incidents, in that before the same police division whose officers were involved would investigate it, and it now has to be a different one. Let's see what happens in the end.
As for the crash itself, the speed and manner of driving were entirely contrary to police procedure whether or not the driver was drunk, although that's an aggravating factor, of course. The car parking arrangements in the central reservation are hazardous not only because of the way they have to be accessed, but also how drivers are expected to re-enter the carriageway. As the police driver was going much too fast, she had no chance to see his car, but this sort of manoeuvre is definitely not what you want on a major street like this even in slower-moving traffic.
The area this happened in is one of Berlin's modernist blight areas, essentially constructed to try and project a 'vision' of a modern 'socialist' state. There have been talks in Berlin for years to tighten up the streetscape and create better, closer frontages (although I'd be surprised if the carriageway envelope in itself were addressed). I suppose our closest equivalents to the tunnel leading to Grunerstraße are Hyde Park Corner or the Euston Underpass.
RIP Fabien Martini.
Police officer hits and kills a young woman in Berlin, story gets weird:
https://berlinspectator.com/2019/08/16/berlin-a-sad-story-becomes-a-scandal-1/