The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+194x^27+143x^28+406x^29+125x^30+454x^31+135x^32+256x^33+58x^34+158x^35+39x^36+54x^37+9x^38+10x^39+2x^40+4x^41

The gray image is a code over GF(2) with n=124, k=11 and d=54.
This code was found by Heurico 1.16 in 1.68 seconds.