The generator matrix

 1  0  1  1  1  1 21  1  1  1 24  1  1  0  1  1 18  1  3 15  1  1  1  1  1  1  1  1  1  1  1  1 21  1 21  1  1  1  1  1  1  1  1  3  1  1  1  1  1 18 15  1
 0  1  1 26 21 20  1 16 24 23  1  4  0  1 24 25  1  2  1  1 21 22 17  1 14 16 20 25 20  0 23  5  1 13  1 18  2  6  9  6 20  6 13  1  3  2  0 15  6  1  1  0
 0  0 24  0 18 18 18 15  0 18 18 24  6 24  6 21  3  3 12 12 15 21 12  3 12 18 15 21  9  9  3 15  6  0  0 21  3 24  0  6 24 21  6 12  6 18 24  9 18  0 15  9
 0  0  0  9  9  0 18 18 18 18  9  9 18  9  0 18  9 18  0 18  9  9  0  0  9  9 18  9  9 18 18  9 18 18  9 18  9  9  9 18  0  9  0 18  0  9  9  0  0  9  9  9

generates a code of length 52 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+126x^96+228x^97+270x^98+1640x^99+924x^100+852x^101+2744x^102+1740x^103+1554x^104+3588x^105+1824x^106+1110x^107+1970x^108+576x^109+48x^110+230x^111+42x^112+30x^113+102x^114+24x^116+30x^117+12x^118+14x^120+4x^126

The gray image is a code over GF(3) with n=468, k=9 and d=288.
This code was found by Heurico 1.16 in 0.873 seconds.