Hello Tormentator, thanks for joining Intel community.
I would like to inform you that the system is not able to update the driver since it looks like it already has the latest version available installed.
In our site the driver version 126.96.36.199.4061 is the latest version available for the HD4000. Usually OEM systems do not allow the installation of our drivers since they are generic. OEMs make a lot of customizations to the drivers and the installation of Intel’s drivers could overwrite those customizations. Therefore it will affect your system.
I found these articles that contain additional information on graphics drivers, but they explain the reason why the same driver has a different number. Graphics Drivers — Identifying Your Graphics Driver Version