ZarankiewiczDB,

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Matrix for z(14,14)

1111
1111
1111
1111
1111
1111
1111
1111
1111
1111
1111
1111
1111
1111

Found by hand using Matrix 2171. The upper left block is color class 1, and the lower right block is the transpose of color class 2.

lower bound = 56, submitted by Andrew Kay on April 26th, 2016 (link, raw)