LTC6268 - Maximum achievable transimpedance gain

Hi

What is the maximum achievable transimpedance gain with LTC6268. I wish to design a TIA to amplify a current pulse whose magnitude is around 100 pA and FWHM (full width half maximum) of the pulse is around 0.2 ms for which the rise time expectation is around 5 to 10 us. I wish to achieve the transimpedance gain of around 10e9.

Regards

M Arivalagan