The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+136x^87+950x^88+1334x^89+1888x^90+1718x^91+1870x^92+1826x^93+1668x^94+1350x^95+1114x^96+774x^97+778x^98+336x^99+305x^100+166x^101+69x^102+22x^103+47x^104+12x^105+10x^106+6x^107+1x^108+2x^110+1x^118

The gray image is a code over GF(2) with n=744, k=14 and d=348.
This code was found by Heurico 1.16 in 4.27 seconds.