The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+154x^27+343x^28+764x^29+770x^30+1404x^31+1404x^32+1422x^33+760x^34+682x^35+225x^36+144x^37+66x^38+32x^39+11x^40+6x^41+4x^42

The gray image is a code over GF(2) with n=256, k=13 and d=108.
This code was found by Heurico 1.16 in 14.9 seconds.