What does a threat hunting program look like at your company?

I'm curious what threat hunting programs look like at your company? Do you have a large enough organization where you have an entire dedicated department/program? Or is it more of a side-responsibility along with your main priorities (such as working at a SOC and you have down time). How is it structured? (weekly/monthly structured threat hunts?)

I'm looking for ideas to build out a program at my organization.

cybersecurity department down hunting large main organization priorities program responsibility soc threat threat hunting working