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

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

Homogenous weight enumerator: w(x)=1x^0+164x^105+18x^106+36x^107+342x^108+36x^109+18x^110+54x^111+56x^114+2x^132+2x^135

The gray image is a code over GF(3) with n=486, k=6 and d=315.
This code was found by Heurico 1.16 in 0.0602 seconds.