You can download the final release of the Intel HD Graphics 4000 driver from here: https://downloadmirror.intel.com/29969/a08/win64_126.96.36.19961.exe. If this release doesn't work for you, there is no recourse; it is time to retire this ancient relic and get something more modern. AFAIK, there was no support for 4K in that generation.
Thank you for posting on the Intel️® communities.
Due to this product being discontinued, Intel Customer Service no longer supports inquiries for it, I am glad to see that fellow community members have the knowledge and they jumped in and helped. You may also find the Discontinued Products website (https://www.intel.com/content/www/us/en/support/discontinued-products.html) website helpful to address your request.
You can get the specifications and verify this product's discontinuance status at the Intel® Product Specifications website > Product Status > "Discontinued". https://ark.intel.com/
Please keep in mind that this thread will no longer be monitored by Intel. Thank you for your understanding.
Intel Customer Support Technician