The generator matrix

 1  0  0  1  1  1  6  2  1
 0  1  0  1  0  3  1  0  5
 0  0  1  1  1  0  1  0  1
 0  0  0  2  0  0  0  2  4
 0  0  0  0  2  6  6  2  6
 0  0  0  0  0  4  0  4  0
 0  0  0  0  0  0  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+100x^4+288x^5+1344x^6+3712x^7+6782x^8+8384x^9+6656x^10+3712x^11+1428x^12+288x^13+64x^14+9x^16

The gray image is a code over GF(2) with n=36, k=15 and d=8.
This code was found by Heurico 1.16 in 0.439 seconds.