The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  0  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1  1  9 12  6  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  0 16 26 24  1  4 23  1 21 19 20  1  9 12  6 16 13 10  8 11  5  1  1  1  9 12  7 13  6 10  8 11  8  5 20 14 15  0  9 16  7
 0  0  9  0 18 18  9  9  9  0 18 18  9 18  9 18 18  0  0  0  0  9 18  9 18  9  0  0  9 18 18  0  9  9 18  0  9  0  0 18 18  9  9 18  0 18  0  9 18 18  0  9 18

generates a code of length 53 over Z27 who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+444x^103+408x^104+8x^105+606x^106+198x^107+8x^108+264x^109+144x^110+4x^111+90x^112+6x^113+4x^114+2x^129

The gray image is a code over GF(3) with n=477, k=7 and d=309.
This code was found by Heurico 1.16 in 0.387 seconds.