The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+334x^28+384x^30+644x^32+384x^34+264x^36+34x^40+2x^44+1x^48

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 27.7 seconds.