The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+76x^23+503x^24+982x^25+2057x^26+3458x^27+5070x^28+7048x^29+8478x^30+9570x^31+9011x^32+7370x^33+5345x^34+3174x^35+1882x^36+894x^37+370x^38+170x^39+45x^40+24x^41+5x^42+2x^45+1x^50

The gray image is a code over GF(2) with n=124, k=16 and d=46.
This code was found by Heurico 1.16 in 42.9 seconds.