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  3  1  3  3  3  3  1  3  1  1  3  1  1
 0  9  0  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9 18  0 18  9 18  0  9  0  9  9  0 18 18
 0  0  9 18 18  9  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9  0 18  9  0 18  9 18 18  9  0  0  0  9

generates a code of length 35 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+16x^69+210x^70+8x^72+2x^78+6x^79

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 0.0087 seconds.