The generator matrix
1 0 1 1 1 0 1 1 2 1
0 1 1 0 1 1 3 3 0 0
0 0 2 0 0 0 0 2 4 0
0 0 0 2 0 6 2 2 4 0
0 0 0 0 2 0 2 0 4 0
0 0 0 0 0 4 0 4 4 0
0 0 0 0 0 0 4 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+83x^4+58x^5+397x^6+524x^7+2117x^8+2510x^9+5053x^10+2440x^11+2089x^12+566x^13+431x^14+44x^15+62x^16+2x^17+7x^18
The gray image is a code over GF(2) with n=40, k=14 and d=8.
This code was found by Heurico 1.16 in 0.14 seconds.