The generator matrix

 1  0  0  1  1  1  2  1  1  2
 0  1  0  1  6  3  1  0  0  0
 0  0  1  1  3  6  1  0  0  0
 0  0  0  4  0  0  0  0  0  4
 0  0  0  0  4  0  0  0  0  4
 0  0  0  0  0  4  0  0  0  4
 0  0  0  0  0  0  4  0  0  4
 0  0  0  0  0  0  0  4  0  4
 0  0  0  0  0  0  0  0  4  4

generates a code of length 10 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+85x^4+128x^5+432x^6+1024x^7+4394x^8+4992x^9+10656x^10+4992x^11+4394x^12+1024x^13+432x^14+128x^15+85x^16+1x^20

The gray image is a code over GF(2) with n=40, k=15 and d=8.
This code was found by Heurico 1.16 in 0.458 seconds.