The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  2  1  2  2  1  1  8  1  1  0  1  1  8  1  2  2  1
 0  2  0  6  4  6 12  2  8  0  6 14  4  2  4  6 10 14  6 14 12  2 14  2  2  2  0  2 12  6  4  4
 0  0 12  0  4  0  0  8  0  4  4 12  8  8  4  8 12  8  4  4  4  4 12  0  4  8  4 12  8  4 12  4
 0  0  0 12  0  0  8  4  4  4  4  8 12  8  4  0  4  4 12  0  4  8  0  0 12  4  4  8  0 12 12  8
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  8  8  0  0  0  0  8  8  0  0  8  8  0  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+66x^27+185x^28+252x^29+405x^30+706x^31+876x^32+724x^33+434x^34+242x^35+109x^36+44x^37+22x^38+6x^39+11x^40+4x^41+2x^42+4x^43+2x^44+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 0.19 seconds.