In 1967 P.J. Federico found the first 4 SPSS of order 56 : 10671A, 10739A, 21342A and 21478A.
In 1999 Ian Gambini published 2 small SPSS of order 56 : 929A I_G 1999, 56 : 1005A I_G 1999
In 2014 Brian Trial found 5418 order 56 SPSSs.
In 2018 Bernard Moss found 995 order 56 SPSSs using a transform applied to Brian Trial's discoveries.
More recently Bernard Moss found hundreds more SPSSs in order 56, some quite small. The 4 smallest he found, with sides of 1002, 1044, 1263 and 1437 are shown below.
There are 8395 known SPSSs of Order 56. Files provided as;