The generator matrix
1 0 0 1 1 1 2 1 1
0 1 0 1 6 3 1 0 0
0 0 1 1 3 6 1 0 0
0 0 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
generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+76x^4+128x^5+456x^6+1920x^7+2574x^8+6144x^9+2448x^10+1920x^11+540x^12+128x^13+40x^14+9x^16
The gray image is a code over GF(2) with n=36, k=14 and d=8.
This code was found by Heurico 1.16 in 0.145 seconds.