How do I disable a specific CPU core at boot?

I have a 16 core Intel Xeon processor that successfully boots into the BIOS and GRUB, but fails to load Ubuntu (or any operating system). It turns out that core #14 is the cause of all the issues (discovered after testing each individual core with memtest86). In the BIOS, I can set the system to run with just 2 cores, and the system works in this configuration. But I would like to be able to use 15 out of 16 of the cores. Is there a way to disable only core #14 at boot?