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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+28x^68+126x^69+215x^70+284x^71+420x^72+656x^73+893x^74+1012x^75+1096x^76+1024x^77+813x^78+650x^79+387x^80+204x^81+119x^82+78x^83+80x^84+26x^85+28x^86+14x^87+4x^88+4x^89+10x^90+6x^91+8x^93+4x^95+1x^98+1x^114

The gray image is a code over GF(2) with n=608, k=13 and d=272.
This code was found by Heurico 1.16 in 1.94 seconds.