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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+132x^106+132x^107+310x^108+516x^109+294x^110+468x^111+1158x^112+228x^113+1842x^114+3102x^115+3120x^116+3158x^117+2982x^118+222x^119+364x^120+330x^121+228x^122+202x^123+324x^124+90x^125+132x^126+138x^127+42x^128+50x^129+60x^130+12x^131+26x^132+6x^133+6x^134+6x^135+2x^162

The gray image is a code over GF(3) with n=522, k=9 and d=318.
This code was found by Heurico 1.16 in 1.73 seconds.