The generator matrix

 1  0  1  1  1  6  1  1  1  0  1 14  1  2  1  1  2  1 12  1  1  4  1  1  1  1  1  1  1  4  4  1
 0  1 11  6 13  1 12  2  3  1 13  1  3  1  0  6  1  5  1 10  1  1  6  0  1  1  2  6  4  1  2  8
 0  0 12  0  4  8  0  0 12  4  0  8  8  0  4 12 12 12  4  4  8  0  0  4  0  8  4  8  8 12  8  4
 0  0  0 12  0  8  8 12 12  4  4 12  8 12 12  4  0 12 12 12  4  4  8  4  0  4  0 12 12  8 12  0
 0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  0  8  0  8  8  8  0  0  8  0  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+66x^27+215x^28+614x^29+823x^30+1606x^31+1527x^32+1722x^33+818x^34+502x^35+169x^36+76x^37+19x^38+18x^39+6x^40+2x^41+4x^42+2x^44+2x^45

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 0.446 seconds.