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  1  1  1  1  1  1  1  1  1  1  1  1  8  1  2  1  1 12  1  2  1  2  1  1  0  1  2 12  1  0  1  8  1  4  1  1 12  1
 0  2  0  2  8  0  6 14  0  8  6  2  0 10  0 14 10  4 10  4  2 14 12  4  4  8  6  6  6 12  8  6  4 10  0  8  2  6 10  4  8  0  6 12 10 10 14 14  2  4  0  4  4  8 10  4  8  6 14  4  2 14  8  2  0  2 14  4 14  2 12  0  2  8
 0  0  2  2  0 14  6  8  4 10  2  8  4 14 14 12 12  6 14 12 12  2  8 14 14 12  2 12  8  0  6  6 14  6  8  8  8 12 10  4 12  2 14  2  4 10  8 14  8 10 10  8 12  2  2 14  2 12 12  2 14 10  2 12 14  2  6  2 14  4 10  2 12  8
 0  0  0  4  4  4  0  4 12  4  8  4  0  4  8  8 12 12  8 12  8  4  8  8  0  4 12  4  0  0  0  8  4  0 12  8 12  0 12  4  8 12 12  8  4  8  8  4  4 12  0 12  0  0  0  8  8  4 12  4  8  0 12  0 12 12 12 12 12 12  8  4  4  0

generates a code of length 74 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+19x^68+272x^69+164x^70+398x^71+329x^72+688x^73+545x^74+618x^75+293x^76+318x^77+138x^78+150x^79+28x^80+80x^81+17x^82+18x^83+1x^84+18x^85+1x^124

The gray image is a code over GF(2) with n=592, k=12 and d=272.
This code was found by Heurico 1.16 in 0.666 seconds.