The generator matrix

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

generates a code of length 33 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+36x^54+60x^56+108x^57+180x^58+330x^59+270x^60+270x^61+1410x^62+1072x^63+846x^64+4512x^65+2032x^66+846x^67+4728x^68+1348x^69+594x^70+480x^71+82x^72+180x^73+126x^74+70x^75+18x^77+52x^78+24x^81+4x^84+4x^87

The gray image is a code over GF(3) with n=297, k=9 and d=162.
This code was found by Heurico 1.16 in 0.969 seconds.