The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  2  4  4  1  1  4  4  2  0  8  1  8  1  1  2  0  0  1  1  1  4  1  1  4  1  1  2
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12 12  4  4  8  4  0 12 12  4  4  4 12  8  8  4 12  8  4 12 12  4  4 12  8  4  4  0  8  4  0 12  0  8  4  0  0  8  8  0 12  0  0  0  0  4  8  0  8  4 12  4  4
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4 12  0  8 12 12  4  4 12  8  0 12  0  4 12  0  8  0  8 12  4  0 12 12  8  4  0  8  0  4  4 12  8  4  8  4  0  4  8  4  4  0  4  8 12 12  4  4 12  0  4  4 12
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8 12 12  8  0  8 12 12 12  0  4  0  4  4  8  0 12  0  8  8 12  4  0  8  4  4  4  8  4 12  4 12  8  8 12  8  4 12  0  0  8  4 12  4 12 12 12  0  8  8 12  8  4
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4  4 12  4  0  4 12  0 12 12 12  8 12  4  0  8  0 12  8  0  8  8  0 12  8  0  0  8 12  8  0  4  4  4  0  4  4  8  8  4  0  8  4 12  0 12  8  8  4  4  8  4
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0  8  4  4  0  4 12 12 12  8  8 12  4  0 12  4  4  8  0  8  8  0  8  4  8  4  4 12  8  4  0  8 12  0  8  4  0 12 12 12  0  0  4  4  4 12 12  8 12  0  4  4  8

generates a code of length 69 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+68x^59+133x^60+212x^61+260x^62+400x^63+568x^64+784x^65+1229x^66+1614x^67+1950x^68+2092x^69+1973x^70+1616x^71+1192x^72+806x^73+465x^74+290x^75+215x^76+158x^77+109x^78+94x^79+57x^80+42x^81+25x^82+12x^83+10x^84+2x^85+2x^86+2x^87+2x^88+1x^98

The gray image is a code over GF(2) with n=552, k=14 and d=236.
This code was found by Heurico 1.16 in 8.2 seconds.