The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+41x^80+118x^81+267x^82+636x^83+944x^84+1794x^85+2547x^86+3792x^87+5244x^88+6678x^89+6819x^90+8046x^91+6966x^92+6528x^93+5327x^94+3782x^95+2362x^96+1534x^97+792x^98+556x^99+265x^100+198x^101+96x^102+72x^103+40x^104+38x^105+17x^106+10x^107+6x^108+8x^109+5x^110+2x^111+1x^114+3x^116+1x^118

The gray image is a code over GF(2) with n=728, k=16 and d=320.
This code was found by Heurico 1.16 in 76.9 seconds.