The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^28+108x^29+253x^30+400x^31+351x^32+434x^33+225x^34+64x^35+79x^36+16x^37+13x^38+2x^40+2x^41+4x^42+1x^50

The gray image is a code over GF(2) with n=256, k=11 and d=112.
This code was found by Heurico 1.16 in 0.0521 seconds.