The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0  1 24  1 21  1  1  0  1  1 24  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1 16  1 24  1 23 20  1 21 20  1 20  0 23 11 21  2  4
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  0 18  0  9  0 18  9 18  0 18  0  9  9  9  0 18  0
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9 18  0  9  9  0  0  9  9 18  0  9  0  9 18 18  0 18
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9  9  9 18  0  9  9  0  9  9  9  9  9  0  0

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

Homogenous weight enumerator: w(x)=1x^0+258x^57+486x^58+1208x^60+1836x^61+486x^62+3756x^63+3726x^64+972x^65+3784x^66+2592x^67+362x^69+108x^70+66x^72+22x^75+14x^78+2x^81+4x^84

The gray image is a code over GF(3) with n=288, k=9 and d=171.
This code was found by Heurico 1.16 in 4.37 seconds.