ZarankiewiczDB,

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Matrix for z(24,24)

11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111
11111

A construction given by F├╝redi and Simonovits. Rows and columns represent ordered pairs $(a,b),~(x,y) \in \mathbb{Z}_5 \times \mathbb{Z}_5 - (0,0)$, and a 1 indicates $ax + by \equiv 1 \pmod{5}$. [FS13, p. 27]

lower bound = 120, submitted on April 23rd, 2016 (link, raw)