The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+40x^20+18x^21+142x^22+86x^23+421x^24+312x^25+1207x^26+1120x^27+3104x^28+2708x^29+5270x^30+3740x^31+5298x^32+2816x^33+3235x^34+1104x^35+1256x^36+266x^37+346x^38+94x^39+103x^40+24x^41+37x^42+16x^44+2x^46+1x^48+1x^50

The gray image is a code over GF(2) with n=124, k=15 and d=40.
This code was found by Heurico 1.16 in 11.5 seconds.