The generator matrix

1 1 1 1 2 0 0 2 1
0 6 0 6 2 2 4 0 4
2 2 0 0 2 4 2 2 0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+20x^7+37x^8+28x^9+16x^10+12x^11+10x^12+4x^13

The gray image is a code over GF(2) with n=36, k=7 and d=14.
This code was found by an older version of Heurico in 0 seconds.