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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+140x^81+158x^82+554x^83+508x^84+1064x^85+1115x^86+2040x^87+2107x^88+3434x^89+3316x^90+4116x^91+3366x^92+3406x^93+2158x^94+1980x^95+897x^96+970x^97+450x^98+452x^99+142x^100+174x^101+75x^102+66x^103+11x^104+24x^105+20x^106+6x^107+5x^108+4x^109+4x^110+2x^111+1x^116+1x^124+1x^132

The gray image is a code over GF(2) with n=728, k=15 and d=324.
This code was found by Heurico 1.16 in 66.1 seconds.