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

generates a code of length 34 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+10x^63+30x^66+648x^68+18x^69+16x^72+4x^75+2x^102

The gray image is a code over GF(3) with n=306, k=6 and d=189.
This code was found by Heurico 1.16 in 0.0102 seconds.