The generator matrix 1 1 1 1 1 1 1 1 1 3 3 0 1 1 0 3 24 9 21 6 18 12 15 21 24 3 0 9 generates a code of length 14 over Z27 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+54x^26+14x^27+54x^28+108x^29+6x^30+6x^33 The gray image is a code over GF(3) with n=126, k=5 and d=78. This code was found by Heurico 1.16 in 0.000547 seconds.