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  3  3  0  3  3  0  3
 0  3 24  0 21 24 21  6  0  9  0  9 21 12  9 24 15 21  3  9  3 18  3 24 15 15 15 21 24  3 21 24  3  0
 0  0  9  0  9  0 18 18  9 18  9 18 18  0  9  0 18  9  9  0 18 18  0  9  0  9 18 18  0  0 18  9  0  0
 0  0  0  9 18  9  9 18 18  9  0 18 18 18  9 18  9  0  9 18  0  0  9 18  0  9  0 18  0  9  9 18 18  0

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

Homogenous weight enumerator: w(x)=1x^0+150x^63+162x^64+276x^66+648x^67+72x^69+648x^70+108x^72+120x^75+2x^81

The gray image is a code over GF(3) with n=306, k=7 and d=189.
This code was found by Heurico 1.16 in 0.0252 seconds.