The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^32+12x^34+2x^36

The gray image is a code over GF(2) with n=256, k=6 and d=128.
This code was found by Heurico 1.16 in 0.0126 seconds.