If the safe bearing pressure of the soil is only 40kPa and the average soil pressure 65 kPa , you can not reduce the pressure to 40kPa with increasing the mat thickness and /or softening the springs . The average settlement 120 mm corresponding to the 65 kPa implies you have adapted K =550 kN/m3 which is too low .
If the safe bearing pressure 40kPa, and assume SF= 2.5 and corresponding allowable settlement is 10mm
The Winkler spring constant should be around K=40*2.5/0.01=10000 kN/m3,
The structure could be equivalent of six storey bldg and IMO, you have two options ;
- Provide a basement storey to reduce the effective stress ,
- Consider soil improvement or piling .
Say my opinion only,