The generator matrix
1 0 0 0 1 1 1 6 1 1
0 1 0 0 1 2 0 0 6 0
0 0 1 0 1 0 3 1 3 0
0 0 0 1 1 3 0 1 1 0
0 0 0 0 2 2 6 2 2 0
0 0 0 0 0 4 0 4 0 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+202x^5+1261x^6+2716x^7+8517x^8+11438x^9+17149x^10+11368x^11+8489x^12+2758x^13+1295x^14+188x^15+62x^16+2x^17+7x^18
The gray image is a code over GF(2) with n=40, k=16 and d=8.
This code was found by Heurico 1.16 in 1.52 seconds.