The generator matrix
1 1 1 1 1 1 2 1 1
0 2 0 0 0 0 2 4 0
0 0 2 0 0 0 2 6 4
0 0 0 2 0 2 0 2 4
0 0 0 0 2 2 0 4 0
0 0 0 0 0 4 4 4 0
generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+46x^4+52x^5+142x^6+240x^7+830x^8+1464x^9+844x^10+240x^11+142x^12+52x^13+38x^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 0.0152 seconds.