The generator matrix

 1  0  1  1  1  9  1  1  1  1 21 12  1  1  1  1 18  3  1  1  1  1  1  1 24  6 15
 0  1 16 21  7  1  9  4 12 13  1  1 24  6 25 22  1  1 18  3 15 19 10  1  1  1  1

generates a code of length 27 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+726x^54+2x^81

The gray image is a code over GF(3) with n=243, k=6 and d=162.
This code was found by Heurico 1.16 in 1.34 seconds.