Calculating an algorithm from a set of pre generated numbers

Hi, I have 10 different 16-digit  codes that were  all generated with a single  unknown  algorithm and  I was wondering if there is some sort of program or something that I can enter  the 10 codes into and  the program will be able to study the data and create an algorithm that fits with the data I fed it? The goal of finding the algorithm is so I can generate two more codes (I have 10 but I need 12)


Below is the 10 codes that I have (they were all originally made using an unknown algorithm)
9812040200460433
9812040200999308
9812040202831088
9812040204719773
9812040207085554
9812040208584216
9812040209296057
9812040209807048
9812040231599584
9812040238072516

Any idea on how to do this, or if it can even  be done?