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  1  1  1  1  1  0 21  1  1 24  1  1  1 24  6 21 24  1 21  1  1  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 26  4  0 16 23 24 23  1  1  4 24  1 19 23 21  1  1  1  1 16  1 19  0  4 21  0  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18  9  0  0 18  0 18  0 18  0  9 18 18  9  0 18  0  9 18  0 18  9  9  0  9  0  9  9  0  9  0  0  9  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0  0 18  9 18  0 18  0 18  9  9 18  9  9 18  0  0  0  9 18  0 18  0 18 18 18  9  0 18 18  9  0  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9 18 18 18  0  0  9 18  0 18  9 18 18  0  0 18 18  0  9  0 18 18  9 18 18  9 18  0  9  9 18 18  9  0
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  0  9 18 18  0 18  0  9  9  0 18  0  0 18 18 18  0  0  0  9 18 18  0  0  0 18  9  9  0  9 18  0  0

generates a code of length 52 over Z27 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+22x^90+30x^91+42x^92+126x^93+138x^94+348x^95+656x^96+714x^97+1218x^98+2732x^99+2826x^100+2922x^101+7008x^102+6516x^103+4920x^104+9398x^105+6588x^106+3846x^107+5066x^108+1950x^109+1140x^110+290x^111+150x^112+132x^113+92x^114+42x^115+12x^116+40x^117+40x^120+24x^123+12x^126+4x^129+2x^135+2x^138

The gray image is a code over GF(3) with n=468, k=10 and d=270.
This code was found by Heurico 1.16 in 7.63 seconds.