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

generates a code of length 99 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+98x^88+12x^89+142x^90+120x^91+436x^92+428x^93+564x^94+960x^95+1187x^96+1608x^97+1688x^98+1936x^99+1745x^100+1608x^101+1124x^102+960x^103+627x^104+428x^105+282x^106+120x^107+191x^108+12x^109+40x^110+26x^112+19x^116+11x^120+9x^124+1x^128+1x^144

The gray image is a code over GF(2) with n=792, k=14 and d=352.
This code was found by Heurico 1.16 in 11.5 seconds.