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 0 1 3 3 0 1 1 3 3 9 3 1 1 3 3 3 9 1 3 1 3 1 1 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 21 24 3 0 21 24 3 9 9 12 6 3 12 21 15 18 15 0 3 21 18 6 0 18 18 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 0 9 18 9 9 0 9 18 0 18 18 9 9 18 18 18 18 9 0 9 18 9 9 18 generates a code of length 55 over Z27 who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+416x^108+134x^111+154x^114+18x^117+4x^120+2x^123 The gray image is a code over GF(3) with n=495, k=6 and d=324. This code was found by Heurico 1.16 in 4.78 seconds.