It looks like you got the Spyder/Cayman R rear sway bar, it is a little thicker/stiffer. I've actually got the reverse, I have a thicker front sway bar (that red tpc bar) paired with a smaller sway bar, and I was able to find a setting that works, so you probably can too. Run the front a little stiffer. If you try it and can't get it dialed in, maybe we could trade my "regular" tarett rear bar for your thicker one? But I bet you can find a setting that works
Edit: you could email Tarett and see if they can add a row to this spreadsheet for that Spyder rear bar, or I can remember that password for my old computer I could get to my spreadsheet and calculate it:
Drilling an extra hole in a sway bar end to give a softer setting