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 3 3 3 3 3 1 1 3 1 1 1 3 3 9 1 0 9 0 0 0 0 9 18 18 0 0 9 9 9 9 9 9 9 0 18 0 18 0 18 0 9 18 9 18 18 0 0 18 9 0 9 9 9 9 0 0 0 9 0 9 0 9 9 9 9 18 0 18 18 18 18 9 18 9 0 0 0 9 0 0 9 18 0 18 0 9 9 18 18 0 9 0 9 9 9 9 0 0 18 18 9 9 18 0 18 0 9 9 0 18 18 0 9 0 18 18 18 9 18 18 0 18 18 9 9 9 0 18 0 0 18 0 9 0 0 0 0 0 9 0 18 18 9 0 9 9 0 0 9 18 9 9 18 18 0 0 18 18 18 18 18 9 9 0 9 18 9 18 18 9 18 9 0 0 0 9 0 9 18 0 0 18 9 0 18 18 18 18 0 9 18 18 0 9 0 0 0 0 0 9 18 18 18 18 18 0 18 0 0 18 18 0 9 0 0 18 18 9 18 9 18 0 18 0 0 18 18 9 0 0 0 18 0 9 9 18 18 9 0 9 9 18 9 9 18 18 0 9 18 9 0 0 9 9 0 generates a code of length 60 over Z27 who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+164x^114+174x^117+486x^118+58x^120+972x^121+248x^123+62x^126+2x^135+8x^138+2x^144+6x^147+2x^150+2x^153 The gray image is a code over GF(3) with n=540, k=7 and d=342. This code was found by Heurico 1.16 in 1.74 seconds.