The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  0  3  1  1  3
 0  3 24  0 21 24  6  9 21 21  0 24 18  6  0 18 21 12  0 24 24 15 21 18  6 24  3 21 15  9 21
 0  0  9  0  0  0 18  0 18 18  9 18 18 18  0 18 18  0  9  0  0 18  9  0  9 18  0 18  9  0  9
 0  0  0  9  0  9 18 18 18 18 18  0  9  9  0 18  9  9  9  0  9  9  9  0  0  0  9  0 18  9  0
 0  0  0  0 18 18  9  0 18  9 18 18  9  0  9 18  9  0  9 18  9 18 18 18  9 18  9  9  0 18  9

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

Homogenous weight enumerator: w(x)=1x^0+112x^54+12x^55+126x^56+220x^57+78x^58+396x^59+1214x^60+180x^61+810x^62+2230x^63+168x^64+576x^65+162x^66+48x^67+36x^68+146x^69+22x^72+12x^75+8x^78+2x^81+2x^84

The gray image is a code over GF(3) with n=279, k=8 and d=162.
This code was found by Heurico 1.16 in 0.114 seconds.