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

generates a code of length 54 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+530x^102+72x^103+270x^104+516x^105+972x^106+432x^107+412x^108+1728x^109+756x^110+278x^111+144x^112+210x^114+78x^117+146x^120+12x^123+2x^126+2x^144

The gray image is a code over GF(3) with n=486, k=8 and d=306.
This code was found by Heurico 1.16 in 6.82 seconds.