The generator matrix 1 1 1 1 1 1 1 0 9 0 0 0 0 9 0 0 9 0 0 0 18 0 0 0 9 0 0 18 0 0 0 0 9 0 18 0 0 0 0 0 9 18 generates a code of length 7 over Z27 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+42x^6+70x^9+210x^12+5832x^14+210x^15+154x^18+42x^21 The gray image is a code over GF(3) with n=63, k=8 and d=18. This code was found by Heurico 1.16 in 0.00602 seconds.