The generator matrix
1 0 0 1 1 1 6 1 1 1
0 1 0 1 0 1 1 0 0 0
0 0 1 1 1 0 1 0 0 0
0 0 0 2 0 0 2 2 2 0
0 0 0 0 2 0 2 2 6 0
0 0 0 0 0 2 2 4 4 0
generates a code of length 10 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+96x^4+108x^5+597x^6+1468x^7+3380x^8+6616x^9+8235x^10+6616x^11+3380x^12+1468x^13+603x^14+108x^15+87x^16+5x^18
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 0.448 seconds.