The generator matrix
1 1 1 1 1 1 2 1 1
0 4 0 0 0 0 4 0 0
0 0 4 0 0 0 4 0 0
0 0 0 4 0 0 4 0 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+15x^4+53x^8+128x^9+32x^10+21x^12+6x^16
The gray image is a code over GF(2) with n=36, k=8 and d=8.
This code was found by Heurico 1.16 in 0.000318 seconds.