@yimding: Welcome to the forum!
The Intel Xeon "Gold" series, such as those found in the current R660 servers, should have no trouble "functioning" any more than the older E5v3 series chips when it comes to basic computing.
What happens is sometimes when a new processor is released, it contains additional functionality that usually doesn't prevent it from doing its job but in fact, adds or enhances features.
Whether or not the current KERNEL you're using supports those new features is usually the only obstacle. When it doesn't, most of the time the processor just goes on with normal operations as if the new features didn't exist.
For example, Tiny Core 15x64 looks as though it's foundation is the version 6.6.8 kernel.
If the Xeon Gold's "new" features, if any, weren't added into the kernel until a later version, say 6.11.x which is likely to be the case, you would probably want to build a custom kernel that supported all of those new areas (which can usually be accomplished same-day, especially with that number of cores.) This is a kernel matter more so than a Tiny Core Linux matter when it comes to newly released hardware, so as long as the kernel supports what you're trying to accomplish, most of the time it's effortless for Tiny Core to accept those changes.
If anything, you'll want to specify the make and model of the server in question instead of just the processors that come with it - more times than not, it's hardware on the motherboard that poses the challenges more so than the CPU.