The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+155x^20+36x^22+680x^24+64x^25+636x^26+448x^27+2682x^28+1344x^29+4392x^30+2240x^31+7205x^32+2240x^33+4536x^34+1344x^35+2876x^36+448x^37+628x^38+64x^39+600x^40+12x^42+110x^44+26x^48+1x^52

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 16.1 seconds.