A very quick monkey around with this:
hunecke.de | Loudspeakers Calculator
From the chap who wrote the CaraCad software about 25 years ago, suggests something along these lines, assuming 3.73m wall includes chimney, and longer 3.91m wall includes window
You can drag the speakers around, and the listener, and you can see the green room response graph change.
After a bit of messing about, I ended up with the centre of the bass drivers at 85cm in from the side walls, and 90cm in from the back wall, and the listener position is as shown, but there remains a big peak in response around 45Hz, which stays regardless of speaker and listener position, so this will be the primary room modes.
The eigenmode calculator suggests the big peak in response is due to two primary modes at 44 and 46 Hz, so these are best tackled with membrane absorber tuned to 45 Hz, such as the RPG Europe Modex corner:
The blue line on the first picture shows the room response without additional absoprtion, which is too lively, so some form of absorption from other panels in suitable positions would be useful to bring it down to the green line.
I have RPG Bad Arc panels behind the listener position, and panel absorbers next to the speakers.
If possible I would suggest diffusers on the side walls and ceiling at the first reflections, such as RPG Flutterfree, and RPG Skyline
Plus carpet on the floor, and curtains
Declaration: I have no ties with RPG Europe, and other room treatment manufacturers are available 
Best of luck