2009 Prius shaking on start

Today I started my 2009 Prius (base model) and all seemed fine to begin, but once the engine switched on the whole car started to shake violently. I turned it off quickly, waited, and tried again. Turned the AC off immediately. Again, it started to shake when the engine switched on. I left it on a few seconds longer and it started to even out, but it still sounded and felt clunky.

Any ideas on what it could be? Much appreciated!

It has about 106,000 miles booked

 

Thanks SFO!!

There were warning lights displayed and unfortunately I don’t have any DTCs. I’m late on my oil change and I take it out for groceries about once a week, but really nothing more than that. (Not sure if any of that is helpful or relevant)

We’ve had an incredibly rainy Spring where I am. Our last rain was last week. The afternoon this happened (yesterday), it was sunny and about 80 degrees, which is much hotter than it has been in a long time.