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

generates a code of length 52 over Z27 who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+288x^101+124x^102+1512x^104+72x^105+44x^108+144x^110+2x^156

The gray image is a code over GF(3) with n=468, k=7 and d=303.
This code was found by Heurico 1.16 in 4.79 seconds.