About HDMI cable certifications:
Hey So, I've got this Samsung 6 series UHD TV (model: ue40ku6100/ue40ku6170, not sure which). On my desktop I have a Nvidia GeForce GTX 1060 3gB. I have 2 monitors and the TV connected, one of them is connect through DVI, the other through a VGA to HDMI converter and the TV through an HDMI...
forums.tomshardware.com
Most 4k TVs have multiple HDMI input ports on them, but it can happen that not all of these ports are capable to support 60Hz in 4k so you need to check on that. Another thing to note is that, to reset a HDMI cable connection, it can happen that
both ends of the cable need to be physically unplugged
before you plug the cable back in so, simply moving one end of the cable from one port over to another port does not necessarily always reset the connection properly, which can cause a lot of confusion sometimes.
I already checked that your mini PC does indeed have a motherboard that supports 60Hz in 4k. (Even if the CPU has an iGPU that supports it, it can happen that the motherboard still doesn't, especially if it's cheap, but yours does support it AFAIK.)
Have you updated the BIOS to its latest version? Also, go on Intel.com website, download and install the DSA (Driver Support Assistant). Let it check for driver updates and choose to let it install the driver updates that it finds. Especially if the graphics driver you have is outdated, this could be the potential remedy.
If the problem is fixed, after you set the display resolution to 4k you should be able to select 60Hz from the list shown in Option Two, Step 7
here.
P.S., with some TVs apparently there exists an option in the TV's setting that limits the capabilities of one or more of its HDMI input ports so it is possible that you need to enable something like, e.g., "enhanced mode" for the port in question.