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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+204x^109+234x^110+56x^111+354x^112+312x^113+400x^114+594x^115+2388x^116+686x^117+516x^118+276x^119+32x^120+78x^121+96x^122+32x^123+102x^124+78x^125+6x^126+54x^127+12x^128+36x^130+6x^131+6x^133+2x^165

The gray image is a code over GF(3) with n=522, k=8 and d=327.
This code was found by Heurico 1.16 in 0.273 seconds.