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

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 7.96 seconds.