The generator matrix 1 0 1 1 1 1 0 1 7 26 0 0 0 0 9 0 9 0 0 0 0 9 18 0 generates a code of length 6 over Z27 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+84x^6+160x^9+648x^10+4050x^12+1296x^13+312x^15+10x^18 The gray image is a code over GF(3) with n=54, k=8 and d=18. This code was found by Heurico 1.16 in 0.00224 seconds.