The generator matrix

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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+68x^89+195x^90+460x^91+593x^92+1480x^93+1108x^94+1912x^95+1240x^96+2480x^97+1184x^98+1940x^99+1118x^100+1352x^101+489x^102+430x^103+118x^104+74x^105+48x^106+12x^107+15x^108+12x^109+8x^110+6x^111+16x^112+6x^113+4x^114+8x^115+2x^116+2x^118+1x^122+1x^128+1x^134

The gray image is a code over GF(2) with n=776, k=14 and d=356.
This code was found by Heurico 1.16 in 6.38 seconds.