Rattling on acceleration

Thanks, it makes me think of the exhaust as well, I did what I could with tapping the exhaust and I couldn't find the same sound, I looked for anything loose like heat shields and such and everything looks okay, it's now starting to make a rumbling sound right around the same time as the rattle now, and just like the rattle it stops if I let off the accelerator, I'm just afraid it may be a rod or something, I've never had a problem with rods or lifters so I'm not exactly sure what it would sound like.
Someone suggested doing another oil change, and getting fuel from what is called "top tier" gas stations and maybe trying premium fuel instead of mid-grade for the time being and seeing if that helps the issue.
I'm sorry the video was inconclusive, some days it's louder than others, sometimes, rarely but sometimes it doesn't make the noise at all. It definitely does if it's cold running and right now where I'm at it's very very cold out and getting colder, our high as of late is only 20-24°F and lows in the teens and single digits. I'll try to record it again when I can, thank you!

Hi Joe,

I thought I'd give you an update.
Turns out all the noise was coming from the driveshaft, the bolts had been compromised and it was ready to fly off. It's all been fixed now and every bit of rattle and thumping noise is gone now. Thank you for all your help!