The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^20+328x^24+64x^26+739x^28+640x^30+4096x^31+1225x^32+320x^34+483x^36+168x^40+25x^44+6x^48+1x^52

The gray image is a code over GF(2) with n=124, k=13 and d=40.
This code was found by Heurico 1.16 in 1.46 seconds.