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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+46x^77+134x^78+248x^79+334x^80+436x^81+583x^82+832x^83+1019x^84+1064x^85+1057x^86+824x^87+581x^88+368x^89+216x^90+158x^91+86x^92+70x^93+41x^94+24x^95+18x^96+8x^97+14x^98+6x^99+5x^100+4x^101+2x^102+4x^103+4x^104+4x^105+1x^130

The gray image is a code over GF(2) with n=680, k=13 and d=308.
This code was found by Heurico 1.16 in 2.36 seconds.