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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+71x^80+188x^81+311x^82+362x^83+352x^84+540x^85+649x^86+438x^87+318x^88+324x^89+228x^90+142x^91+72x^92+28x^93+22x^94+18x^95+18x^96+8x^97+4x^98+1x^102+1x^146

The gray image is a code over GF(2) with n=688, k=12 and d=320.
This code was found by Heurico 1.16 in 0.98 seconds.