The generator matrix 1 0 0 1 2 4 0 1 0 1 4 2 0 0 1 2 1 1 generates a code of length 6 over Z8 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+57x^4+114x^5+173x^6+108x^7+54x^8+2x^9+3x^10 The gray image is a code over GF(2) with n=24, k=9 and d=8. This code was found by Heurico 1.11 in 0.000159 seconds.