Softbody Help!

I have a character that has what are essentially flower petals on the end of their tail. I want them to behave kind of like a feather, and gently drift behind the tail as it moves. However, whenever I move the tail even slightly it starts wiggling like crazy. I have the weights set to 0.99 for all the points except the anchor, which is set to 1. What can I do to fix this? (Images of settings attached)

I’m very new to using physics and can’t find an answer 1 2