I live in the Hamburg area, and none of the local bakeries is offering black bread. It‘s common in northern Frisia, and eventually some areas in Schleswig-Holstein.
Sure, the assortment of wheat based breads is larger and very small shops might not have it at all, but overall it is pretty common (the two bakeries within a 100m radius of my place both have it). However, if you are looking for top quality black bread you might be out of luck with your closest bakery, but should find a shop within a few kilometers. Just to give one example:
'Bäckerei Junge' is one of the common bakeries: https://www.jb.de/geschaeftefinder/
And one of their high quality black breads is the 'Kerne & Saaten': https://www.jb.de/produktfinder/aus/hamburg/in/brot/produkt/...