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

generates a code of length 92 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+120x^82+164x^83+541x^84+492x^85+1283x^86+1128x^87+1878x^88+2768x^89+2768x^90+3548x^91+3338x^92+4156x^93+2927x^94+2260x^95+1819x^96+1140x^97+871x^98+496x^99+502x^100+136x^101+177x^102+84x^103+80x^104+12x^105+38x^106+26x^108+5x^110+5x^112+3x^114+1x^116+1x^128

The gray image is a code over GF(2) with n=736, k=15 and d=328.
This code was found by Heurico 1.16 in 31.5 seconds.