The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^26+288x^27+438x^28+464x^29+536x^30+560x^31+415x^32+496x^33+342x^34+176x^35+158x^36+64x^37+20x^38+12x^40+2x^42

The gray image is a code over GF(2) with n=124, k=12 and d=52.
This code was found by Heurico 1.16 in 0.245 seconds.