Drill chuck arbor

I'm doing up and old TOUGH DP for the mens shed and in the box of parts that came with it there is a Japanese (Fuji) 13mm chuck but no arbor.

The DP has an MT2, and the taper in the chuck is

31mm long,

16.95 mms at the widest end and

15.3 mm at the narrowest end.



I have had a bit of a look on the web but cannot match it with anything that I have come across



Does anyone have any idea what the chuck taper might be ?

thanks