The generator matrix

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

generates a code of length 35 over Z27 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+66x^70+2x^72+6x^73+6x^78

The gray image is a code over GF(3) with n=315, k=4 and d=210.
This code was found by Heurico 1.16 in 0.0086 seconds.