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

generates a code of length 52 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+372x^102+234x^105+94x^108+24x^111+2x^117+2x^126

The gray image is a code over GF(3) with n=468, k=6 and d=306.
This code was found by Heurico 1.16 in 1.42 seconds.