The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^26+64x^27+235x^28+224x^29+348x^30+192x^31+317x^32+224x^33+182x^34+64x^35+77x^36+16x^38+9x^40+6x^42+1x^48

The gray image is a code over GF(2) with n=124, k=11 and d=52.
This code was found by Heurico 1.16 in 0.0984 seconds.