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

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

Homogenous weight enumerator: w(x)=1x^0+138x^63+162x^66+1458x^68+324x^69+70x^72+32x^81+2x^99

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 1.03 seconds.