What brand/type of GH test are you using? 0 hardness is a little hard to believe.
Epsom salts will increase GH. If you are positive your GH is 0, take a very small pinch of Epsom salts and dissolve in a quart or so of water. Mix it well and test it after letting it sit for awhile. If it still tests 0, it could very well be an indication that your GH is very, very hard.
You could also try getting an LFS that specializes in salt water tanks (not a box store) test the GH.
I recently brought home fish from an out of town LFS with a high PH of 8. The hardness was over 20, I can't remember the exact number, but it was off the charts. The GH was so high I thought I flubbed the drop test somehow and gave up at 15 drops. I redid the test against my own tap water (a low 4) and redid the bag water. It was ridiculous how high the GH was.
You might want to try the GH test on some bottled spring water to see what results you get. Yours might be so high it goes off the charts, especially with that high PH.
Just an FYI, the serious breeders I know consider GH matching when acclimating new fish much more important than PH.