The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+64x^21+170x^22+258x^23+394x^24+756x^25+761x^26+2250x^27+1208x^28+5262x^29+1542x^30+7260x^31+1572x^32+5416x^33+1234x^34+2348x^35+808x^36+700x^37+342x^38+162x^39+104x^40+84x^41+45x^42+10x^43+8x^44+6x^45+2x^46+1x^48

The gray image is a code over GF(2) with n=124, k=15 and d=42.
This code was found by Heurico 1.16 in 18.5 seconds.