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  3  3  1  3  1  3  3  3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  9  0  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  9  9  9  0  0  9 18 18 18  0  9  0  9 18 18 18  0  0  9  9  0  9 18 18
 0  0  9 18 18  9  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9 18  0  0  9 18  9 18  9  0  0 18 18  0 18  9  9  9 18  0  0  9 18  0  9 18  9 18  0  0  9

generates a code of length 52 over Z27 who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+48x^103+162x^104+16x^105+8x^108+6x^112+2x^132

The gray image is a code over GF(3) with n=468, k=5 and d=309.
This code was found by Heurico 1.16 in 0.0371 seconds.