Yes don't touch the sound post if this does not happen when you're not plugged in.
Good advice. It could very well be where or how the pickup is attached to the bass.
The bass, pickup, amp, and speaker combine into sort of a new instrument or system. As you increase the gain, it tends to exaggerate the resonances in the system. So a resonance that makes the bass feel more lively and responsive acoustically may quickly get out of control as you turn the volume up. In many instances, corrective EQ can be applied progressively as your volume requirements increase to keep the resonance from getting out of hand.
You might also consider the room part of the system, and gain tends to exaggerate room resonances as well.
I pretty much redo the EQ on my bass at every gig. My gain requirement my be different, spacing between the amp and bass may be different, and the acoustics of the room will be different.
One final comment. A bass that is extremely resonant acoustically, may simply be a poor choice for amplification. I have played some very fine instruments that were so resonant that it was impossible to get a great sound through an amp. This sort of bass may be a real cannon acoustically. Sometimes the answer is you need to choose a different bass that is better suited for amplification.
In my case, I probably could have improved the amplified sound by choosing a different pickup. I used one of the original Realists and it picked up too much of the resonance of the bass's body. A bridge mounted pickup, would be likely to focus more on the vibrations of the strings. The Realist worked fine on multiple other basses I used over the years.