The generator matrix
1 1 1 1 1 1 2 2 1
0 2 0 0 0 2 4 4 0
0 0 2 0 2 2 2 4 0
0 0 0 2 2 0 0 4 0
0 0 0 0 4 0 4 4 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+36x^5+90x^6+112x^7+374x^8+728x^9+388x^10+112x^11+90x^12+36x^13+34x^14+5x^16
The gray image is a code over GF(2) with n=36, k=11 and d=8.
This code was found by Heurico 1.16 in 0.00329 seconds.