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  1  1  1  3
 0  3 24  0 21 24  6  9 21 21  0 24 21  0 24  6  9  3 21 12 18 15 24  3 15 18  3  9  0 24  9 21
 0  0  9  0  0  0 18  0 18  9  0  9  9  9  0  9 18  0 18  9 18 18  9  9  9 18  9 18  9 18 18 18
 0  0  0  9  0  9 18 18 18  9  0 18  0 18 18 18 18  9  0  9 18  0 18 18  0  0  0  9 18  0  9  9
 0  0  0  0 18 18  9  0 18  9 18 18  0  0 18  0 18  0 18 18  9 18  9  0 18  0  9  9  9  9  9  0

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

Homogenous weight enumerator: w(x)=1x^0+266x^57+428x^60+486x^62+494x^63+2916x^64+972x^65+498x^66+356x^69+106x^72+24x^75+8x^78+4x^84+2x^90

The gray image is a code over GF(3) with n=288, k=8 and d=171.
This code was found by Heurico 1.16 in 5.47 seconds.