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
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  9  0  0 18 18  9  0  9 18  0 18  9 18 18  0
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  9  9  9  9  0  9 18  0 18  0 18 18  9  0  9
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9 18  0 18  0 18  9 18  9  0 18 18  0  0 18  0
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0  9 18  0  0 18  0  9  9  9  9 18 18  9  0 18

generates a code of length 32 over Z27 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+48x^57+112x^60+268x^63+1458x^64+232x^66+24x^69+20x^72+6x^75+8x^78+6x^81+2x^84+2x^90

The gray image is a code over GF(3) with n=288, k=7 and d=171.
This code was found by Heurico 1.16 in 0.0256 seconds.