Let's see:
7 steps up, then a landing, 7 steps down, with the last step being the exit step - correct?
Then we would have a sporty rise of 19 (285/15, that can be done) and a narrow tread width of 25 (there will be an additional 2cm overhang per step for big feet):
7x25 = 175 + 100 landing = 275cm up
100 landing + 6x25 = 250 + exit (hallway) down
As far as I remember, the 275cm landing stairs are also typical for small houses. Or did I miscalculate? Somewhere a no-go?
In any case, I would rather go up 19cm than have only 23cm tread. What do you think?