The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+126x^82+316x^83+479x^84+508x^85+535x^86+512x^87+404x^88+328x^89+302x^90+348x^91+123x^92+28x^93+51x^94+8x^95+5x^96+10x^98+2x^100+2x^104+6x^108+2x^120

The gray image is a code over GF(2) with n=696, k=12 and d=328.
This code was found by Heurico 1.16 in 1 seconds.