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 1 1 1 1 1 1 1 9 1 1 0 3 24 0 21 24 21 6 0 9 0 9 12 6 9 21 21 9 24 6 24 6 12 3 3 3 9 18 24 15 0 18 18 12 12 3 6 6 24 9 3 6 18 12 15 15 15 24 0 0 9 12 9 12 3 0 0 9 0 9 0 18 18 9 18 9 18 0 9 9 9 0 9 0 0 9 18 9 18 0 18 0 18 9 18 0 0 0 9 0 0 9 18 0 9 9 0 9 9 18 0 9 18 18 18 18 18 0 18 18 0 0 0 9 18 9 9 18 18 9 0 18 0 0 0 9 18 9 18 0 9 9 0 0 9 18 18 0 18 0 18 9 0 18 9 18 18 0 0 18 0 18 9 9 18 9 9 9 9 18 0 0 0 18 9 generates a code of length 55 over Z27 who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+1050x^108+972x^111+162x^117+2x^162 The gray image is a code over GF(3) with n=495, k=7 and d=324. This code was found by Heurico 1.16 in 23.1 seconds.