The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+40x^80+156x^81+414x^82+528x^83+950x^84+664x^85+1028x^86+662x^87+1082x^88+686x^89+934x^90+454x^91+341x^92+154x^93+46x^94+14x^95+8x^96+6x^98+4x^99+4x^100+2x^101+5x^104+2x^105+2x^107+2x^110+2x^114+1x^116

The gray image is a code over GF(2) with n=696, k=13 and d=320.
This code was found by Heurico 1.16 in 1.87 seconds.