The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+592x^26+1496x^28+2011x^30+2063x^32+1474x^34+464x^36+76x^38+8x^40+6x^42+1x^46

The gray image is a code over GF(2) with n=124, k=13 and d=52.
This code was found by Heurico 1.11 in 1060 seconds.