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 3 3 1 1 1 3 3 1 1 1 3 3 3 1 1 3 1 9 9 0 3 3 3 3 3 3 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 9 18 0 9 18 9 18 0 9 18 9 18 0 0 9 0 18 9 18 9 0 9 18 0 9 0 0 generates a code of length 57 over Z27 who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+56x^114+6x^116+4x^117+6x^119+2x^120+6x^122 The gray image is a code over GF(3) with n=513, k=4 and d=342. This code was found by Heurico 1.16 in 0.0526 seconds.