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 3 3 3 3 3 1 3 3 3 1 1 1 1 1 1 3 1 3 3 3 3 3 3 3 3 0 9 0 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 9 9 0 9 0 18 18 18 18 18 0 9 18 0 0 9 9 18 0 0 0 9 18 9 18 0 0 9 18 18 9 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 9 9 18 0 0 9 18 18 18 0 9 0 9 18 9 9 9 18 0 9 18 0 0 generates a code of length 56 over Z27 who´s minimum homogenous weight is 111. Homogenous weight enumerator: w(x)=1x^0+54x^111+162x^112+12x^114+8x^117+6x^129 The gray image is a code over GF(3) with n=504, k=5 and d=333. This code was found by Heurico 1.16 in 0.0519 seconds.