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

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

Homogenous weight enumerator: w(x)=1x^0+198x^106+282x^107+102x^108+438x^109+396x^110+176x^111+822x^112+558x^113+2526x^114+1782x^115+3552x^116+4970x^117+1746x^118+426x^119+106x^120+354x^121+252x^122+60x^123+258x^124+234x^125+26x^126+174x^127+108x^128+40x^129+48x^130+18x^131+6x^132+12x^133+4x^135+6x^137+2x^165

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 2.59 seconds.