Hi mshimoda, I am sorry for the issue.
POST codes 60-6F do not exist. It is probably B4.
The codes B0-BF are related to the boot devices; so, you may want to take this into consideration. It may help to know if you get video from your system or three beeps without memory, two beeps without graphics...
The link below includes several useful articles.
You may also try a BIOS recovery if you get video or proper beeps as suggested above.
If the motherboard was working with this graphics card, and you tested it or replace it, you may want to narrow this further by testing the motherboard out of the case with minimum components in a non-conductive surface. Otherwise, you may replace the motherboard if in warranty by contacting your local Intel® support team.