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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 0 3 0 3 3 9 3 3 3 0 3 24 0 21 24 9 21 6 9 12 6 9 12 24 0 3 6 18 18 21 12 15 15 18 3 15 0 21 24 0 21 24 9 12 6 9 12 6 9 0 21 12 24 6 18 18 3 3 15 15 18 3 15 21 24 21 3 24 3 12 6 3 12 6 0 0 0 9 9 18 18 18 9 0 9 0 9 0 9 0 18 18 18 0 9 0 18 9 18 18 9 0 0 18 0 18 9 9 9 0 18 18 9 9 0 9 0 18 18 0 0 9 18 9 0 18 18 0 9 18 0 9 0 9 9 0 18 18 9 9 0 generates a code of length 66 over Z27 who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+72x^129+234x^130+84x^132+180x^133+78x^135+72x^136+6x^141+2x^162 The gray image is a code over GF(3) with n=594, k=6 and d=387. This code was found by Heurico 1.16 in 0.126 seconds.