The generator matrix 1 0 1 1 0 1 7 0 0 0 9 18 generates a code of length 4 over Z27 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+24x^4+156x^6+96x^7+1512x^8+296x^9+96x^10+6x^12 The gray image is a code over GF(3) with n=36, k=7 and d=12. This code was found by Heurico 1.16 in 0.000199 seconds.