The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 0 3 24 0 21 24 9 21 6 9 12 6 9 0 21 0 0 9 9 18 18 18 9 0 9 0 9 0 18 18 generates a code of length 15 over Z27 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+20x^27+132x^28+366x^30+168x^31+10x^33+24x^34+6x^36+2x^42 The gray image is a code over GF(3) with n=135, k=6 and d=81. This code was found by Heurico 1.16 in 0.00147 seconds.