The generator matrix

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

generates a code of length 53 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+228x^96+246x^97+546x^98+1350x^99+1158x^100+2154x^101+3974x^102+3972x^103+4584x^104+7132x^105+6360x^106+6258x^107+8192x^108+4836x^109+3420x^110+2598x^111+678x^112+378x^113+386x^114+162x^115+108x^116+146x^117+72x^118+42x^119+32x^120+12x^121+6x^122+10x^123+4x^126+2x^129+2x^132

The gray image is a code over GF(3) with n=477, k=10 and d=288.
This code was found by Heurico 1.16 in 8.09 seconds.