The latest driver package supporting your processor's graphics solution is v126.96.36.19971, which you can download from here: https://www.intel.com/content/www/us/en/download/18369. Unfortunately, within this package, the OpenGL version supported for your processor is 4.3.
Since your processor - and almost all other 4th gen processors - have been discontinued, I do not believe that any plans exist for subsequent updates to this package. I would be considering it to be the last release and that OpenGL 4.3 will be the highest version supported for your processor.
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 are helping you. You may also find the Discontinued Products website helpful to address your request.
You can verify this product's discontinuance status at the Intel®️ Product Specifications website > Product Status > "Discontinued".
Please keep in mind that this thread will no longer be monitored by Intel. Thank you for your understanding.
Intel Customer Support Technician