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  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 18 18 18  0  9  9  0  9 18 18 18  0  0  9  9  0  9 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 18  0  0  9 18  9 18  9 18  0  0  9 18  0  9 18  9 18  0  0

generates a code of length 51 over Z27 who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+48x^101+172x^102+12x^105+2x^108+6x^110+2x^129

The gray image is a code over GF(3) with n=459, k=5 and d=303.
This code was found by Heurico 1.16 in 0.0345 seconds.