The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1 12 21  1  1  1 15  1  1 21  1  0  1  1  1 15  1 24  1  1  1
 0  1  0  0 18  1 19  1  3 12 11 26 24  6  1 20 25  5  1 23 13  1  1  1  9  5 26  6 12  1 25 22  9
 0  0  1  0 16 25 14  7  4  5 15  1  8  1  9 26 21 11 23 15  5 15  3  5  1 10 26  1 19 25  0 18 18
 0  0  0  1 14  9  5  5  1 21 13  3 10 19 25  2  0  3 24 11 22 20 25 25 24 16  7 25  0  3  8  4  3

generates a code of length 33 over Z27 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+1070x^57+1572x^58+4920x^59+11034x^60+12984x^61+24132x^62+38436x^63+48708x^64+67356x^65+80606x^66+77898x^67+69816x^68+51768x^69+22746x^70+11538x^71+5742x^72+810x^73+90x^74+134x^75+36x^76+18x^77+18x^78+6x^80+2x^81

The gray image is a code over GF(3) with n=297, k=12 and d=171.
This code was found by Heurico 1.16 in 233 seconds.