The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  1  6  1  1  0  6  1  0  1  1  1  1  1  1  1  1  1
 0  1  3  6  1  1  0  3  1  6  1  1  0  3  1  6  1  5  3  1  1  0  1  6  3  0  3  0  0  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  4  4
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  0  4  4  4  0  4  4  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  0  4  4  4  4  4  0  0  0  0  0  0  0  0  0  4  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  0  0  4  0  4  0  4  0  0  0  4  0  4  0  4  4
 0  0  0  0  0  0  4  0  0  0  0  4  4  0  0  0  4  4  4  0  4  0  4  0  0  0  0  0  0  4  0  4
 0  0  0  0  0  0  0  4  0  0  0  4  0  0  4  0  4  4  0  4  0  4  4  0  4  0  4  0  0  4  0  4
 0  0  0  0  0  0  0  0  4  0  0  4  4  0  4  4  0  4  4  4  0  0  0  0  0  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  0  4  0  4  0  0  4  0  0  4  4  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  4  0  4  0  4  4  4  4  0  0  4  4  0  0  4  0  4  4  4  0  0  0

generates a code of length 32 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+45x^20+81x^22+4x^23+242x^24+84x^25+478x^26+416x^27+1875x^28+1792x^29+4487x^30+3848x^31+6025x^32+3848x^33+4532x^34+1792x^35+1891x^36+416x^37+527x^38+84x^39+130x^40+4x^41+110x^42+29x^44+25x^46+2x^48

The gray image is a code over GF(2) with n=128, k=15 and d=40.
This code was found by Heurico 1.16 in 11.2 seconds.