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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+90x^77+287x^78+390x^79+531x^80+646x^81+852x^82+868x^83+1160x^84+852x^85+839x^86+530x^87+362x^88+276x^89+131x^90+114x^91+114x^92+46x^93+65x^94+16x^95+6x^96+6x^97+1x^98+2x^99+2x^100+4x^101+1x^126

The gray image is a code over GF(2) with n=672, k=13 and d=308.
This code was found by Heurico 1.16 in 2.16 seconds.