What besides simplicity do you expect from your table model?
Why not just fit the diode model from data? There's not that
many params. And that table looks like you have nothing for
forward conduction so you probably have simply a 10Mohm
resistor outside the span of declared voltage-points. That
may as well just be a resistor, no?
If you care about RF-y things such as harmonic distortion
and intercept points, you want the reality of diode nonlinear
behavior to be expressed. Maybe that's for later. But why
waste effort in developing and debugging something so far
short of useful (let alone complete)?