The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 18  1  1  1 15  1  1  1  1  1 24  1  1  1 24  1  1  1 24  1
 0  1  1 26  7 18 17  1 25 21 20  1 24 23  4  1 22 15 26  2  0  1 14  4 20  1 26 18  8  1 25
 0  0 24  0  0 21 21 18  3  6 15 21  9 24  6 12 12 21  6 12 24 24  3 18  9 15  0  3 21 18 12
 0  0  0  9  0 18  0  9 18  0  9  0  9  9 18  0 18  9  0 18  9 18  0 18  0  0 18  0 18 18 18
 0  0  0  0  9  0  0  0  0  0  0  9  9  9 18 18 18  9  9  9 18  9  9  9  0 18  0 18  0 18 18

generates a code of length 31 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+634x^54+72x^55+486x^56+2256x^57+2034x^58+2916x^59+8274x^60+7560x^61+5832x^62+12948x^63+7650x^64+3888x^65+3558x^66+180x^67+618x^69+138x^72+4x^81

The gray image is a code over GF(3) with n=279, k=10 and d=162.
This code was found by Heurico 1.16 in 12.1 seconds.