The generator matrix

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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+32x^86+126x^87+365x^88+694x^89+1242x^90+2004x^91+2635x^92+4120x^93+4772x^94+6674x^95+6156x^96+7770x^97+6862x^98+6694x^99+4520x^100+4070x^101+2560x^102+1660x^103+1052x^104+672x^105+341x^106+218x^107+82x^108+74x^109+51x^110+28x^111+23x^112+8x^113+10x^114+4x^115+10x^116+3x^120+1x^122+1x^124+1x^126

The gray image is a code over GF(2) with n=776, k=16 and d=344.
This code was found by Heurico 1.16 in 83.5 seconds.