The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  2  1  1  1  1  1  4  2
 0 12  0  0  8 12 12  4  0  0  8 12  8  4 12 12  0  8  0  8  8 12 12  0  0 12 12  4  4  8 12  4
 0  0 12  0 12 12  4  8  0  4  4 12  8 12  0  0 12  0  8 12  4  4  8  8  4  4  0  0  4  8 12  0
 0  0  0 12  4  8  4  4  8  4  0  0  4 12 12  8  0  4  8  0  4  0 12  4 12  8  4  0  0  8  4 12

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

Homogenous weight enumerator: w(x)=1x^0+43x^28+110x^30+200x^31+366x^32+176x^33+64x^34+8x^35+33x^36+18x^38+4x^40+1x^56

The gray image is a code over GF(2) with n=256, k=10 and d=112.
This code was found by Heurico 1.16 in 0.0237 seconds.