The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+121x^32+4x^36+2x^40

The gray image is a code over GF(2) with n=256, k=7 and d=128.
This code was found by Heurico 1.16 in 0.00898 seconds.