The generator matrix

 1  0  0  1  1  1  1  1  1  1
 0  1  0  1  0  0  0  0  0  0
 0  0  1  1  0  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  0
 0  0  0  0  0  4  0  0  0  0
 0  0  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  0
 0  0  0  0  0  0  0  0  4  0
 0  0  0  0  0  0  0  0  0  4

generates a code of length 10 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+46x^2+48x^3+333x^4+336x^5+1128x^6+1008x^7+4530x^8+10896x^9+28884x^10+10896x^11+4530x^12+1008x^13+1128x^14+336x^15+333x^16+48x^17+46x^18+1x^20

The gray image is a code over GF(2) with n=40, k=16 and d=4.
This code was found by Heurico 1.16 in 0.794 seconds.