The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^27+217x^28+356x^29+191x^30+302x^31+201x^32+244x^33+74x^34+164x^35+75x^36+40x^37+7x^38+2x^39+2x^44

The gray image is a code over GF(2) with n=124, k=11 and d=54.
This code was found by Heurico 1.11 in 87.3 seconds.