The generator matrix

 1  0  1  1  1 14  1  1  6  1  4  1  1  1  6  1  1  0  6  1  1  1  4  1  1  1  1  1  1 12 10  1  1  1  2  1  2  0  1  1  2  1 12 12  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1 12  1  6  1  1  1  1  2  6  1  1  1
 0  1 11  6  5  1 11  0  1 14  1  9  3  6  1  7  4  1  1 15  4  6  1  7 15 13  1 13  8  1  1 13 10 11  1  4  1  1  0  9  1  9  1  1 13 15 15  9  2  0 12 10 10  8  0  0 15  6 11  8 10 10  1  2  1 10  2 10 15  1  1  1  4  4
 0  0 12  0  0  0  0 12  4  4 12  8  4  8  8 12  4  4 12 12  8 12  8  8  4  0  8  4 12  8  4  4  4  8  8  8  4  0  0 12  8 12 12  4  0  4  0  0  0 12  0  0  4  8  4  4 12 12  0 12  0 12 12  4  8  8  8  0  4 12  0  4 12 12
 0  0  0 12  8  4  4 12  4  8  0  0  4  8  8  8  0  4  8  4 12 12  4  4 12  4 12  0  8  0 12  4 12  8 12  0  0  4  4 12  0  0  4  8 12  8  0  0  8  4  8 12  8  4  4  8  0  4  8  4  0  8  8  4  0  4 12  4  0  0  0  0  4  8

generates a code of length 74 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+72x^69+346x^70+498x^71+500x^72+464x^73+410x^74+490x^75+462x^76+442x^77+255x^78+62x^79+68x^80+10x^81+2x^83+2x^85+3x^86+4x^87+1x^88+2x^89+1x^98+1x^106

The gray image is a code over GF(2) with n=592, k=12 and d=276.
This code was found by Heurico 1.16 in 0.546 seconds.