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 3 3 3 0 3 3 3 3 3 0 9 9 3 0 3 24 0 21 24 9 21 6 9 12 6 9 0 12 3 24 6 18 18 21 12 18 3 15 15 15 21 24 21 3 24 6 12 12 15 3 3 3 0 0 0 9 9 18 18 18 9 0 9 0 9 0 18 9 18 0 18 0 9 0 18 18 9 0 9 18 18 0 9 0 9 18 0 9 18 18 18 0 0 generates a code of length 40 over Z27 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+348x^78+272x^81+90x^84+12x^87+6x^90 The gray image is a code over GF(3) with n=360, k=6 and d=234. This code was found by Heurico 1.16 in 0.0224 seconds.