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  1  1 21  1 21  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  6 23  1 16  1 21  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 18 18 18  9 18 18  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  0  9 18  9  0  9  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  0  9  9  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  9 18  9 18  0  0

generates a code of length 55 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+26x^96+54x^98+156x^99+174x^100+288x^101+656x^102+1098x^103+1254x^104+2030x^105+3822x^106+4020x^107+4178x^108+7344x^109+7008x^110+5464x^111+7656x^112+5202x^113+3658x^114+3090x^115+1002x^116+354x^117+96x^118+102x^119+128x^120+48x^121+24x^122+48x^123+26x^126+6x^129+12x^132+8x^135+10x^138+4x^141+2x^144

The gray image is a code over GF(3) with n=495, k=10 and d=288.
This code was found by Heurico 1.16 in 8.21 seconds.