Today I just played a game where I was Andromeda and on my first turn I was able to play 2 Bank Jobs. The card reads as though I could pull the credits from both cards with the 'whenever you make a run on a remote server' but the text that follows seems to contradict that, 'Instead of accessing cards'. I'm not accessing the cards twice, only once so potentially I could only gain credits from a single Bank Job.

Personally I would read it as allowing you to pull two different bank job credits from one run but it seems a tad powerful. On my first turn, thanks to an account siphon, I gained a whopping 26 credits.

No, you cannot. From the official FAQ:

"If the Runner has two copies of Bank Job installed, can he use
both of them as the result of a run on a single remote server?
The Runner cannot use two Bank Jobs on the same run. When
the run is successful, he or she may either access cards or use
the ability of a Bank Job. Using Bank Job replaces accessing
cards, so once the Runner triggers one of them the other is no
longer able to trigger its own replacement ability."

Edit: the official FAQ can be downloaded in the Support section of its Product page.

Thanks, never found FAQs to be useful before but it seems I should rethink that