The generator matrix

 1  0  1  1  1  6  1  1  1 12  1 10  1  1  1  0  1  1  6  1  1  1  1  1  1  2 12  1  1 12  1  1
 0  1  3  6  5  1 15  9 12  1 10  1  5  3  0  1 15  6  1  5 15  9  0 10 10 12  1  3 10  2  6  0
 0  0  8  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  0  8  8  0  8  0  8  0  0  0  8  0
 0  0  0  8  0  8  8  8  8  8  0  0  0  0  8  8  0  0  0  8  8  8  0  0  8  0  8  8  8  8  8  0
 0  0  0  0  8  0  8  8  0  0  0  0  8  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+60x^28+152x^29+285x^30+296x^31+415x^32+408x^33+251x^34+88x^35+68x^36+16x^37+6x^38+1x^46+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 0.0329 seconds.