The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+135x^28+592x^30+639x^32+544x^34+104x^36+16x^38+16x^40+1x^60

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 0.687 seconds.