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

generates a code of length 54 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+324x^105+1698x^108+162x^114+2x^162

The gray image is a code over GF(3) with n=486, k=7 and d=315.
This code was found by Heurico 1.16 in 23.3 seconds.