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

generates a code of length 52 over Z27 who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+84x^94+228x^95+266x^96+540x^97+744x^98+744x^99+1002x^100+1398x^101+2034x^102+1278x^103+1986x^104+3152x^105+1368x^106+1716x^107+1020x^108+666x^109+456x^110+190x^111+240x^112+180x^113+86x^114+144x^115+78x^116+18x^117+24x^118+18x^119+20x^120+2x^126

The gray image is a code over GF(3) with n=468, k=9 and d=282.
This code was found by Heurico 1.16 in 1.51 seconds.