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November 2019 - Solution
Oleg Vlasii was the first to solve the open problem and found a non-Latin square with a determinant of 933251220 (=0x37a04894):
955332288492675318
479218635
637941825
628597143
741829563
763184952
186753492
114466779
Here is Oleg's solution (thanks!): >>
And source code of his program: >>