The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  0  2  0  1  2  0  2  1
 0  2  0  6  0  6  0  6  4  6  0  6  0  6  2  6  4  6  2  0  4  0  4  2  6  2  6  6  2  6  0
 0  0  4  0  0  0  0  0  4  0  0  0  4  0  0  4  4  4  4  0  4  4  0  0  0  0  4  0  4  4  4
 0  0  0  4  0  0  0  4  0  0  0  4  0  4  0  4  0  4  4  4  4  4  4  0  4  4  4  0  0  0  4
 0  0  0  0  4  0  0  0  0  4  4  4  0  0  4  4  4  0  4  4  4  0  4  0  4  0  0  0  0  4  4
 0  0  0  0  0  4  0  4  0  4  4  0  4  4  0  4  4  0  0  0  4  4  4  0  4  0  4  4  0  0  0
 0  0  0  0  0  0  4  0  4  0  4  4  0  4  0  0  4  0  0  4  4  4  4  4  0  0  4  0  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+81x^26+16x^27+118x^28+64x^29+194x^30+96x^31+194x^32+64x^33+96x^34+16x^35+66x^36+6x^38+4x^40+7x^42+1x^48

The gray image is a code over GF(2) with n=124, k=10 and d=52.
This code was found by Heurico 1.16 in 93.4 seconds.