The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 0 9 0 9 0 9 18 18 18 0 0 9 9 0 9 9 9 18 18 9 18 0 0 0 0 9 18 18 9 0 9 18 0 9 18 9 18 0 18 9 0 9 0 18 9 0 generates a code of length 23 over Z27 who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+54x^45+162x^46+18x^48+8x^54 The gray image is a code over GF(3) with n=207, k=5 and d=135. This code was found by Heurico 1.16 in 0.003 seconds.