The generator matrix

 1  0  0  1  1  1 15  1  1  1  1  1  1 21  1  1  3  1  9  1  1  1  9  1  1 21 21 24  1  1  1 15
 0  1  0 15  1 16  1  0 16 14 17 26 14  1 24  4  1  2  1 25  9 13  1 23 24  1 21  0  3  4 19  1
 0  0  1 25  1 14 16 26 15 16 20  0 20  6  5  8 11  1  4 21 24 19 23  5  7  3  1  1 21  3 21 25
 0  0  0 18 18 18  0 18  0  9  9 18  0 18  9  0  9  0 18 18  9  9  0 18  0  0  9 18  0  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+532x^57+762x^58+1872x^59+3946x^60+3054x^61+5820x^62+8186x^63+7482x^64+9384x^65+9080x^66+3954x^67+2790x^68+1688x^69+276x^70+48x^71+120x^72+24x^73+12x^74+18x^75

The gray image is a code over GF(3) with n=288, k=10 and d=171.
This code was found by Heurico 1.16 in 3.2 seconds.