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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+70x^67+112x^68+134x^69+159x^70+282x^71+435x^72+570x^73+700x^74+592x^75+423x^76+224x^77+100x^78+80x^79+60x^80+38x^81+20x^82+20x^83+17x^84+22x^85+8x^86+10x^87+8x^88+4x^89+4x^90+2x^91+1x^118

The gray image is a code over GF(2) with n=592, k=12 and d=268.
This code was found by Heurico 1.16 in 42.3 seconds.