The generator matrix 1 1 1 1 0 3 24 0 0 0 9 9 generates a code of length 4 over Z27 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+6x^4+48x^6+24x^7+540x^8+80x^9+24x^10+6x^12 The gray image is a code over GF(3) with n=36, k=6 and d=12. This code was found by Heurico 1.16 in 7.89e-005 seconds.