The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+194x^28+192x^29+362x^30+212x^31+253x^32+208x^33+254x^34+104x^35+160x^36+48x^37+38x^38+4x^39+14x^40+2x^42+2x^44

The gray image is a code over GF(2) with n=128, k=11 and d=56.
This code was found by Heurico 1.16 in 0.108 seconds.