The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  0  1  3  1  0  3  9  1  3  1  1
 0  3  0  0 24 21 15  3 24 21 18  0 21 15  9 24 15 21  9 21 18 15 12  9 15 12  9 21  6  0  0  3 12 24 24  3 12 21 15  3 21  9  3  0  3 21  9 18  3  0 15  0  6
 0  0  3 24  0 15 21  3  6  6 21  0  3 21 15  9  6  9 12  9  0  9 15 15 12  6 21 12  6  0  6 12 12  6 24  6  3  0 15 15 18 15 15  6 12 15  3 24  9 18 12 15  9
 0  0  0  9  0  0 18  0  0  9 18  9 18  9 18  0  0 18 18 18 18  9  0  0  9  0  9  9  9  0  9  0  0 18  9 18 18  9 18  9  9 18 18  9  9 18  9  0  0 18  0 18  0
 0  0  0  0  9 18  0  9 18  0 18  9  0  0  0 18  9  9  9 18  9  0  9 18  9  0  9  9  0  9  9  0 18  0 18  0 18  0 18  9  9 18 18 18  0  0  9 18 18 18 18  0  0

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

Homogenous weight enumerator: w(x)=1x^0+132x^96+210x^97+186x^98+360x^99+594x^100+600x^101+1142x^102+894x^103+1044x^104+3650x^105+2610x^106+1542x^107+3554x^108+816x^109+786x^110+262x^111+378x^112+132x^113+226x^114+204x^115+54x^116+86x^117+102x^118+18x^119+50x^120+24x^121+12x^122+6x^123+4x^126+2x^129+2x^138

The gray image is a code over GF(3) with n=477, k=9 and d=288.
This code was found by Heurico 1.16 in 1.7 seconds.