The generator matrix

 1  0  1  1  1  1  1 18  1  1 24  1 21  1  3  1  1  1  0  1 21  1  1  1  9 24  1  1 21 21  1  1
 0  1  1 26 21 20 16  1 26 24  1  4  1 23  1 17 25 26  1 14  1 18 16 22  1  1 16  0  1  1 19  0
 0  0 24  0 18 18 15  3  6 18  9 24  9  6 12 12 21  0 15 15 15 21  9  3 12 24  0 24 24  9 18 15
 0  0  0  9  9  0 18  9 18 18 18  9  9  9  0  9  0 18  0  0 18  9 18 18  0  9  0  9  9  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+186x^57+246x^58+594x^59+1040x^60+1062x^61+2274x^62+2708x^63+2076x^64+4122x^65+2590x^66+1410x^67+720x^68+396x^69+54x^70+48x^71+108x^72+12x^73+18x^74+14x^75+4x^78

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 0.492 seconds.