The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  4  1  6  6  1  1  1  2  2  0  1  1  1  2  4  1  6  1  1  1  2
 0  1  0  0  1  1  1  0  4  5  0  1  3  1  2  1  7  2  1  4  1  5  6  3  1  1  1  1  7  3  7  1
 0  0  1  1  4  5  1  1  0  0  5  1  3  0  1  7  2  5  7  1  2  2  4  2  2  6  1  7  0  4  2  5
 0  0  0  2  0  2  2  6  6  2  4  0  2  6  0  4  6  6  6  6  4  0  6  0  4  6  4  2  0  4  2  4

generates a code of length 32 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+170x^28+232x^29+328x^30+240x^31+259x^32+248x^33+182x^34+104x^35+147x^36+64x^37+56x^38+8x^39+6x^40+2x^42+1x^44

The gray image is a code over GF(2) with n=128, k=11 and d=56.
This code was found by Heurico 1.11 in 0.0415 seconds.