The generator matrix

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

generates a code of length 35 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+86x^63+106x^66+220x^69+1458x^70+208x^72+64x^75+10x^78+12x^81+10x^84+4x^87+8x^90

The gray image is a code over GF(3) with n=315, k=7 and d=189.
This code was found by Heurico 1.16 in 0.03 seconds.