The first discoveries in this order were made by Ian Gambini in 1999. Using his packing program he found two small SPSS; 51 853A and 51 1199A .
In 2014 Brian Trial found 4086 order 51 SPSSs using a new method to make SPSSs in higher orders.
In 2018-2020 Bernard Moss found 826 order 51 SPSSs using his transforms, many made by transforming Brian Trial's 2014 discoveries.
There are 4872 known SPSSs of Order 51. Files provided as;