The generator matrix
1 0 0 0 0 1 1 1 0
0 1 0 0 0 1 0 1 1
0 0 1 0 0 1 0 2 6
0 0 0 1 0 1 1 3 2
0 0 0 0 1 1 3 0 1
0 0 0 0 0 2 6 6 6
generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+240x^4+904x^5+5016x^6+13032x^7+29602x^8+33552x^9+29456x^10+13072x^11+5096x^12+872x^13+216x^14+8x^15+5x^16
The gray image is a code over GF(2) with n=36, k=17 and d=8.
This code was found by Heurico 1.11 in 0.719 seconds.