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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+78x^82+250x^83+290x^84+298x^85+472x^86+520x^87+571x^88+296x^89+433x^90+322x^91+207x^92+174x^93+84x^94+28x^95+10x^96+12x^97+15x^98+16x^99+8x^100+4x^101+6x^102+1x^140

The gray image is a code over GF(2) with n=704, k=12 and d=328.
This code was found by Heurico 1.16 in 1.05 seconds.