On the basis of an 8 character password, where each letter can be 1 of 62 possibilities (a-zA-Z0-9) that is 9.807971461541689e+55 possibilities.
Or 62^8, or 218,340,105,584,896 possibilities...
i was able to get 650 attempts per second with my laptop alone and I have 5 exactly the same
Ok, 5 of them, assuming you figure a way to start at a certain position and not just do the exact same on all 5 would be 3,250/second.
or 3,639,001,759,748.26 Seconds,
or 60,650,029,329.13 Minutes,
or 1,010,833,822.15 Hours
or 50,541,691.10 Days
or 138,470.38 Years
(please correct me if my math is wrong, its the end of a long day

)
Either way, it will take a long time with a PC (or PCs) like yours.
Oh, and in response to your actual question:
Is there any way to get my PHP app to generate passwords in sequence
Yes.