The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  1  1  1  1  4  0  0  1  1  1  2  2  0  4  1  2  0  1  1  1  1
 0  2  0  2  0  0  2  6  0  2  2  0  4  2  6  2  2  0  2  0  4  2  6  2  2  2  4  0  6  2  0  0
 0  0  2  2  0  6  2  0  2  2  0  4  2  6  4  2  0  2  2  0  2  2  0  0  2  2  2  2  0  2  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  0  4  0  0  4  0  4  0  0  4  0  4  4  0  0  4  0  4  0  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  0  4  4  0  0  4  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  4  4  4  0  4  4  0  4  0  4  4  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  0  4  4  0  0  0  0  4  4  0  0  4  4  4  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  4  4  0  4  0  0  4  4  0  4  4  4  0  0  0  4  0  0  4  4
 0  0  0  0  0  0  0  0  0  4  0  4  0  0  0  4  4  4  0  0  0  4  4  4  0  0  4  0  0  4  4  4
 0  0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  0  0  4  0  4  4  0  4  4  0  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+84x^20+100x^22+599x^24+1180x^26+3697x^28+6380x^30+8626x^32+6440x^34+3755x^36+1164x^38+553x^40+92x^42+79x^44+4x^46+13x^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 15.7 seconds.