The generator matrix

 1  0  1  1  1  0  1  1  1
 0  1  3  6  1  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  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+29x^4+32x^5+31x^6+192x^7+451x^8+576x^9+451x^10+192x^11+31x^12+32x^13+29x^14+1x^18

The gray image is a code over GF(2) with n=36, k=11 and d=8.
This code was found by Heurico 1.16 in 0.00329 seconds.