The generator matrix

 1  0  1  2  1  1  1  1  1  1
 0  1  1  0  0  0  0  0  0  0
 0  0  2  2  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+30x^2+16x^3+205x^4+112x^5+680x^6+336x^7+3122x^8+5680x^9+12404x^10+5680x^11+3122x^12+336x^13+680x^14+112x^15+205x^16+16x^17+30x^18+1x^20

The gray image is a code over GF(2) with n=40, k=15 and d=4.
This code was found by Heurico 1.16 in 0.253 seconds.