The generator matrix

 1  0  0  1  1  1  2  2  6  4  1  1  1  1  1  1  1  1  4  1  1  1  1  4  0  1  1  1  2  0  1
 0  1  0  0  5  5  1  6  1  1  1  4  2  3  6  3  7  4  1  4  0  3  6  2  1  0  7  1  2  0  5
 0  0  1  3  7  4  7  1  6  1  5  1  2  6  3  0  5  4  4  6  1  2  3  1  2  7  4  4  4  1  3
 0  0  0  4  4  0  4  4  4  0  0  0  4  4  4  4  4  4  4  0  4  0  0  4  0  0  0  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+256x^28+334x^30+213x^32+124x^34+68x^36+22x^38+6x^40

The gray image is a code over GF(2) with n=124, k=10 and d=56.
This code was found by Heurico 1.16 in 0.393 seconds.