The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0 24  1  1 21  1  1  0  1  1 24  1  1  1  1 21  3
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1  1 16 24  1 23 20  1 21 20  1 26 19 26 16  1  0
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18 18  0  0  9  0 18  9 18  0 18  9  9  0  9 18  9
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9  0 18  9  9  0  0  9  9 18  0  9 18  0  9  9  9
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9  9  9 18  0  9  9  0 18  0  0  9 18 18

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

Homogenous weight enumerator: w(x)=1x^0+184x^54+432x^56+480x^57+324x^58+2592x^59+1366x^60+1296x^61+5184x^62+2198x^63+1296x^64+3456x^65+638x^66+190x^69+20x^72+14x^75+10x^78+2x^84

The gray image is a code over GF(3) with n=279, k=9 and d=162.
This code was found by Heurico 1.16 in 0.472 seconds.