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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+74x^54+864x^56+112x^57+972x^59+6x^63+108x^65+48x^66+2x^84

The gray image is a code over GF(3) with n=261, k=7 and d=162.
This code was found by Heurico 1.16 in 0.0184 seconds.