The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1  1 14  1  1 12  1 10  1  1  1  0  8  1  1  2  0  1  1  1
 0  1  1  6  1 11 13  4  1  2  1  7  4 11  1  2 13  1 12  1  7 10 13  1 12  5 15  1  1  8  6  4
 0  0  2  0  8  4 12 10  6 10  6  2 14  6 10 14  6 10  8  8 12  0  4  0  2  6 14 10  2  2 14  2
 0  0  0  8  8  0  8  0  8  8  0  8  0  8  8  8  0  0  8  0  8  0  0  8  8  8  0  0  8  8  0  8

generates a code of length 32 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+78x^28+300x^29+544x^30+840x^31+717x^32+740x^33+482x^34+260x^35+76x^36+16x^37+12x^38+20x^39+6x^40+2x^42+2x^44

The gray image is a code over GF(2) with n=256, k=12 and d=112.
This code was found by Heurico 1.16 in 0.0994 seconds.