The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1  0  1  1 21  1  1  1  1  1 24  1  1  1 24  0  1  1  1  1  1  1  1  1  1  6  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 19 24  1 16 19  1 24 23 16 21 26  1  4 21  4  1  1  0 23 20 24 26 24 26  4 13  1  6  8 26  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  9  0  0 18 18  0  0  0  0  9  9 18  0 18  0  9  9  0 18 18  9 18 18  9  0 18  9  9  9  9  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0 18  9 18  0  9  9  0  0 18  9  9 18  9  0 18  0  0 18  9  0 18 18 18 18 18 18  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18  9 18 18  0 18  0 18  9  9 18  0  0  0 18  9  0 18 18  0  0  9 18 18  0  0  9  9 18 18  0  0
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  0  9  9  9  0  0  9  9  9  0  9  0  0 18  9  9 18  9 18  0 18  9  0 18  0  0  0

generates a code of length 53 over Z27 who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+78x^93+12x^94+84x^95+236x^96+312x^97+696x^98+678x^99+1260x^100+3006x^101+1332x^102+5154x^103+7698x^104+1898x^105+9054x^106+9876x^107+2156x^108+6510x^109+5850x^110+1110x^111+936x^112+426x^113+336x^114+84x^115+66x^116+104x^117+6x^118+24x^120+22x^123+14x^126+12x^129+10x^132+8x^135

The gray image is a code over GF(3) with n=477, k=10 and d=279.
This code was found by Heurico 1.16 in 8.02 seconds.