The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1 21  1  1  1  1  1  1  1  1  0  1  1  1 21 12  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 20 21  1  4 16 19  0 24 26  4 23  1 13 26  8  1  1 21 12
 0  0  9  0 18  9 18  0  9 18  0  9  9  0 18 18  0 18  9 18  9  0 18  9 18  9  0  0 18  0 18
 0  0  0  9  9 18 18  9  9  0  0 18  9 18  0 18 18  9  0 18 18  9  0  9  9  0  0 18 18  0  0

generates a code of length 31 over Z27 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+336x^57+540x^58+674x^60+1638x^61+1222x^63+1620x^64+414x^66+54x^67+22x^69+36x^70+2x^72+2x^81

The gray image is a code over GF(3) with n=279, k=8 and d=171.
This code was found by Heurico 1.16 in 0.817 seconds.