The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+44x^28+144x^29+65x^30+76x^31+33x^32+72x^33+29x^34+12x^35+18x^36+16x^37+1x^38+1x^42

The gray image is a code over GF(2) with n=124, k=9 and d=56.
This code was found by Heurico 1.11 in 0.0148 seconds.