Well, it looks like this test is pretty hopeless. All of the data is dominated by well-bore storage effects, hence, there is not much reservoir information available. I hope you didn't spend a lot of money on this test, because your boss is going to be really P.O.'ed when he finds out the money was a complete waste. Unless, of course, you are a real clever clogs and can write a sufficiently 'dense' report to hide the fact that the test was a screw-up. Well-testing certainly has enough jargon to snow anybody...
Seriously, you cannot do much with this test data. At most, you should only estimate the permeability and skin-factor. Don't report an extrapolated pressure (because you don't know what you are extrapolating). Don't try to match the bumps and wiggles on the derivative plot with a sophisticated model. Keep the analysis simple and try to avoid reporting 'hard' numbers - the data won't support you.
There are methods that can attempt to extract something from the
test. But this requires a bit of expertise and really won't provide
much more than what you would get from a minimal analysis. Time
to contact your human "well-test expert".
Q: Is this what you wanted to hear?