The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+223x^28+52x^29+296x^30+40x^31+184x^32+24x^33+108x^34+8x^35+53x^36+4x^37+28x^38+3x^40

The gray image is a code over GF(2) with n=124, k=10 and d=56.
This code was found by Heurico 1.11 in 0.0485 seconds.