The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 0 1 1 1 3 3 9 1 1 1 3 3 18 3 3 1 1 0 3 24 9 21 6 18 12 15 0 21 24 9 12 6 18 3 15 0 21 21 24 24 3 9 12 6 12 6 3 18 3 15 3 15 3 0 9 24 6 generates a code of length 40 over Z27 who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+36x^79+162x^80+14x^81+18x^82+6x^84+6x^87 The gray image is a code over GF(3) with n=360, k=5 and d=237. This code was found by Heurico 1.16 in 0.0141 seconds.