The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+80x^27+234x^28+252x^29+596x^30+328x^31+1186x^32+304x^33+589x^34+226x^35+165x^36+78x^37+27x^38+4x^39+13x^40+4x^41+3x^42+2x^43+1x^44+2x^45+1x^46

The gray image is a code over GF(2) with n=256, k=12 and d=108.
This code was found by Heurico 1.16 in 66.4 seconds.