In case anyone is interested, I'm using the classic Fritz Dellsperger Smith chart program here:
https://www.fritz.dellsperger.net/smith.html
This program has been around for many years. The demo version is limited to just five circuit elements which is a bit of a shame.
I can get a slightly better response with the revised network below but the centre capacitor value value reduces to about 0.35pF.
I can't show a six element network with this smith chart program, but I can draw in the sixth element by hand on the chart. See the diagram below. I think this is the kind of thing David was referring to.