The generator matrix

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

generates a code of length 32 over Z8 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+122x^27+342x^28+368x^29+509x^30+520x^31+544x^32+448x^33+443x^34+298x^35+260x^36+138x^37+63x^38+20x^39+13x^40+4x^41+1x^42+2x^45

The gray image is a code over GF(2) with n=128, k=12 and d=54.
This code was found by Heurico 1.16 in 0.235 seconds.