That is a pretty interesting carpet ...
I think a bigger room is a better starting point than a smaller room as the reflections have less of an impact.
That said, you have plenty of glass in that room so that may mess up your plans a bit.
I would start with a free standing 3m x 3m triangle.
If you set it up to listen down the long side, it will mean that in the 7m width each speaker will have 2m from it to the wall.
In the 10m length, place the speakers a third into the room (so that is around 3.3m), then you sit 3m away and you will have another 3.6m or so behind you away from the rear wall.
Seeing that you have the space, to really eliminate as much room acoustics as possible set it up across the room, like so:

This really takes the first reflection points out of the equation.