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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+344x^111+54x^112+54x^113+766x^114+324x^115+486x^116+1074x^117+648x^118+810x^119+824x^120+432x^121+108x^122+292x^123+166x^126+110x^129+58x^132+8x^135+2x^153

The gray image is a code over GF(3) with n=531, k=8 and d=333.
This code was found by Heurico 1.16 in 0.506 seconds.