The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 0 3 3 9 1 1 1 1 1 1 3 3 18 1 1
0 3 24 9 21 6 18 12 15 0 21 24 9 12 6 18 3 15 21 24 3 12 6 3 0 9 18 21 12 3 3 15 3 0 9
generates a code of length 35 over Z27 who´s minimum homogenous weight is 69.
Homogenous weight enumerator: w(x)=1x^0+12x^69+216x^70+8x^72+4x^78+2x^87
The gray image is a code over GF(3) with n=315, k=5 and d=207.
This code was found by Heurico 1.16 in 0.00867 seconds.