The generator matrix
1 0 1 1 1 0 2 2 1
0 1 1 0 3 1 4 4 0
0 0 2 0 2 0 0 4 0
0 0 0 2 2 6 2 6 0
0 0 0 0 4 0 4 0 0
0 0 0 0 0 4 4 0 0
generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+42x^4+68x^5+186x^6+496x^7+790x^8+920x^9+804x^10+496x^11+186x^12+68x^13+34x^14+5x^16
The gray image is a code over GF(2) with n=36, k=12 and d=8.
This code was found by Heurico 1.16 in 0.00791 seconds.