ZarankiewiczDB,

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Matrix for z(12,34)

11111111
11111111
11111111
111111
111111
111111
111111
111111
111111
11111111
11111111
11111111

Scaffold: $p=7$, $q=2$, $\mathbf{m}=(2,2,1,1,1,1,1)$, $\mathbf{n}=(7,7)$, $m_O = 12$, $n_O = 0$.

(312.548785669 seconds, score = 84, 1254600 recursive calls, max depth = 47)

weight = 84, submitted by Andrew Kay on April 22nd, 2016 (link, raw)