The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 3 3 1 1 1 1 3 3 3 1 1 1 3 3 3 9 9 0 3 3 3 3 3 9 1 1 1 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 9 0 18 9 18 0 9 9 18 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 9 0 9 0 18 0 0 0 9 18 generates a code of length 67 over Z27 who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+72x^135+6x^141+2x^144 The gray image is a code over GF(3) with n=603, k=4 and d=405. This code was found by Heurico 1.16 in 0.0979 seconds.