Any old Dell desktop/workstation/server should reach those specs. Poweredge rX30 and up, precision XX20/30 and up or optiplex (don’t know or understand that product line). Most of them are being rescued from the landfill. Might have to spend a crap ton over your budget, like 5-10x over, but you will get those specs.

Look at an r430 barebones, no cpu/ram and build from there using spec sheets from Dell on what it takes. I was able to get one for $400 3 years back, even came with 16gb of ram and a single 10 core Xeon e5-v3.

Also, what are you doing that need these kinds of specs? Running more than 10 VMs at once? Cloud gaming? Form follows function.