Ask HN: Conference room microphone setup for video calls?

We have a conference room that fits ~16 people. I wont mention the brand, but the conference audio hardware we use for Hangout/Zoom calls has 2 separate wired microphones at each ends of the large table, with the main unit in the middle. The audio quality isn't great for those outside of the office. We added carpet and we're in the process of adding sound-absorbing panels... but the volume keeps dipping in and out, no matter who is talking.

Just curious if anyone has recommendations on high quality microphone setups in 2017 for a larger room? We actually have to turn off the A/C when it comes on, yet we have a hard time hearing people at random times during the calls.