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  4  0  0
 0  0  0  0  4  0  4  0  0
 0  0  0  0  0  4  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+55x^4+128x^5+192x^6+480x^7+525x^8+1344x^9+504x^10+480x^11+213x^12+128x^13+40x^14+6x^16

The gray image is a code over GF(2) with n=36, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0064 seconds.