The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+14x^22+62x^23+126x^24+208x^25+246x^26+426x^27+659x^28+822x^29+988x^30+1054x^31+1059x^32+814x^33+601x^34+462x^35+290x^36+194x^37+62x^38+44x^39+38x^40+10x^41+8x^42+3x^44+1x^50

The gray image is a code over GF(2) with n=124, k=13 and d=44.
This code was found by Heurico 1.16 in 1.34 seconds.