The generator matrix
1 0 0 1 1 1 2 6 1
0 1 0 1 2 7 1 1 4
0 0 1 1 1 0 2 1 0
0 0 0 2 0 6 4 6 2
0 0 0 0 4 4 4 4 0
generates a code of length 9 over Z8 who´s minimum homogenous weight is 5.
Homogenous weight enumerator: w(x)=1x^0+34x^5+152x^6+442x^7+862x^8+1092x^9+896x^10+452x^11+128x^12+26x^13+8x^14+2x^15+1x^16
The gray image is a code over GF(2) with n=36, k=12 and d=10.
This code was found by Heurico 1.16 in 0.0126 seconds.