The generator matrix

 1  0  1  1  1  1 21  1  1 24  1  1  1  0  1  1 18  1  3 15  1  1  1  1  1  1  1  1  1  1  1  1  1  1 21  1  1  1  0  1  1  1  1  1  1 18 24 12  1  3 21  1 24  1  1 21  1  1 18
 0  1  1 26 21 20  1 24 23  1 16  4  0  1 24 25  1  2  1  1 21 22 17  1 14 16  2  0 11  9 10  3 23 24  1 26 25 19  1 23  6  3  2 26  6  1  1  1  2  1  1 16  1 25 23  1 10 14  3
 0  0 24  0 18 18 18  0 18 18 15 24  6 24  6 21  3  3 12 12 15 21 12  3 12 18 12  9  9  3 12 21 15  9 15 15  6 18  9  9  6 24  6 18  3  9 15  6  3  3  3  0 18 12 24 21  6  3 21
 0  0  0  9  9  0 18 18 18  9 18  9 18  9  0 18  9 18  0 18  9  9  0  0  9  9  0 18  9  0  9  9  9  0 18  0  0  9 18  9  9  0  0  0  9  9  9  0  9 18  9  0 18  0 18  9  9  0  9

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

Homogenous weight enumerator: w(x)=1x^0+718x^111+558x^112+594x^113+1800x^114+1404x^115+1224x^116+2796x^117+1836x^118+1620x^119+2594x^120+1548x^121+918x^122+1150x^123+486x^124+18x^125+246x^126+90x^129+56x^132+24x^135+2x^144

The gray image is a code over GF(3) with n=531, k=9 and d=333.
This code was found by Heurico 1.16 in 1.32 seconds.