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

generates a code of length 28 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+1050x^54+972x^57+162x^63+2x^81

The gray image is a code over GF(3) with n=252, k=7 and d=162.
This code was found by Heurico 1.16 in 28.3 seconds.