The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 0 9 24 21 3 15 24 9 9 15 12 6 15 0 0 3 15 9 6 3 21 15 0 6 18 24 12 6 generates a code of length 15 over Z27 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+108x^26+60x^27+90x^28+72x^29+1578x^30+36x^31+72x^32+60x^33+36x^34+72x^35+2x^45 The gray image is a code over GF(3) with n=135, k=7 and d=78. This code was found by Heurico 1.16 in 0.00534 seconds.