The generator matrix

 1  0  0  1  1 15  9  1  1  1  1  1  1  1  1  3  1  1  3 15  1  1  1 18  1  1  1 18 12  1  1 15 21  1  1  1 18  1  3  1  1  1 21  1  1  1  1 12  0  1  3  1
 0  1  0  0 21  1  1 16 26  1 14 16 26 21 22  1 23 20  1 21 20 13 12  1  2 24  9  1  1  1  7  1  1  8  3 23  1  6  1 25 14 16 18 11 22 18  3  1  1 25  1 19
 0  0  1  7 14 16 17 17 24  1 16 15 26 22 10 12 13 26 10  1  3  6  6  2 20 14  1 25  2  8  5 12 24  0  9 20  4  4  3  0 17 16  1  2  5  4  9  8  7 11  2  6
 0  0  0  9 18  0  0 18  0  0 18  9 18  0 18  9  9  0 18 18  9  0  9 18  0 18 18  9  9 18  0 18 18  0 18  9 18 18  0 18  0  0  9  9 18 18  9  0 18  0 18  0

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

Homogenous weight enumerator: w(x)=1x^0+442x^96+810x^97+1740x^98+2840x^99+4068x^100+4650x^101+5694x^102+5082x^103+6552x^104+6824x^105+6354x^106+5070x^107+3954x^108+2316x^109+1296x^110+836x^111+294x^112+72x^113+48x^114+18x^115+48x^116+6x^117+6x^118+12x^119+8x^120+6x^121+2x^129

The gray image is a code over GF(3) with n=468, k=10 and d=288.
This code was found by Heurico 1.16 in 5.95 seconds.