The generator matrix

 1  0  0  1  1  1  6  2  1  1  1  1  2  6  1  1  1  4  0  0  1  4  1  1  1  1  1  2  1  1  0  1
 0  1  0  0  1  5  1  1  4  7  3  6  6  1  1  7  2  1  0  6  2  1  4  1  5  3  1  1  7  4  1  1
 0  0  1  3  3  0  7  2  6  5  2  3  1  5  1  4  0  6  1  1  1  7  3  5  4  2  2  2  6  6  5  6
 0  0  0  4  0  0  4  4  4  4  4  0  4  0  0  4  4  4  4  0  0  0  4  4  4  4  0  4  0  4  4  0
 0  0  0  0  4  4  4  4  0  4  4  0  0  4  0  0  4  0  4  4  4  0  4  0  4  0  0  0  0  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+174x^28+244x^29+256x^30+336x^31+241x^32+208x^33+168x^34+168x^35+114x^36+60x^37+56x^38+8x^39+14x^40

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 0.0797 seconds.