These may be useful starting points
http://www.navalhistory.dk/English/Naval_Lists/Types/MineShips.htm (section "MS Class (1941-1965) - From 1951 named Ø Class")
https://www.navalhistory.dk/Danish/Skibene/Skibsklasser/MS_klassen(1941).htm

Thanks Jens :)

Here's some more info, in a comment. Must have overlooked this photo when I uploaded mine back then. Other than that I didn't find out anything else...

http://www.shipspotting.com/gallery/photo.php?lid=1554365

Thanks Jens, yes she looked better 5 years ago.
Did you find any info about the history and the shipyard since?
Best regards, Frank

Nice catch Frank. Looks like they made it a kind of live-aboard within the past five years. I must say she looked better with just two chairs on the aft deck instead of this tool shed-like superstructure... :-)

http://www.shipspotting.com/gallery/photo.php?lid=2061875

Cheers,
Jens