The generator matrix

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

generates a code of length 32 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+58x^63+162x^64+6x^66+6x^69+10x^72

The gray image is a code over GF(3) with n=288, k=5 and d=189.
This code was found by Heurico 1.16 in 0.0064 seconds.