The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+116x^71+686x^72+980x^73+1121x^74+1224x^75+957x^76+820x^77+620x^78+556x^79+389x^80+300x^81+193x^82+80x^83+104x^84+12x^85+18x^86+8x^87+5x^88+1x^92+1x^96

The gray image is a code over GF(2) with n=608, k=13 and d=284.
This code was found by Heurico 1.16 in 1.05 seconds.