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 21  1 24  1  1  1  1  0  1  1 24  1  1  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  0  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 24 19  1  4 16 23 19  1 24  1 21 20 19  0  1 16 21  1 23 23 24 24  1  4 21  5 26 19  6 20 12 12 20 11  5  1  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0  9  0 18 18  9  0  0  0 18  9  0  0  0  9  0 18  9 18 18  9 18  9 18  0  0 18  0  9  0  9 18 18  0 18 18  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0 18  0 18  9 18  0  9  0  9  0  9  9  9 18 18 18  0  9 18  0 18  0  0 18  0 18  9  0  9  9  0  0  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  9 18  0 18  0  0  0 18  0 18  9  9 18 18  9 18  0  0 18  9 18 18  9  9  0  0  0  9 18 18  9  9 18  9  0 18
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  0  9  9  9  9  9  0  9  0 18  0  9  0  0  9  9 18 18 18  9 18 18  9 18  0  9  9  0 18  9 18  0  0

generates a code of length 59 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+72x^105+186x^107+240x^108+144x^109+942x^110+872x^111+1116x^112+3144x^113+2294x^114+3816x^115+6696x^116+4866x^117+6660x^118+8892x^119+4554x^120+5040x^121+5154x^122+2062x^123+720x^124+1056x^125+180x^126+156x^128+62x^129+18x^131+40x^132+20x^135+12x^138+8x^141+12x^144+8x^147+6x^150

The gray image is a code over GF(3) with n=531, k=10 and d=315.
This code was found by Heurico 1.16 in 9.11 seconds.