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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+56x^111+48x^112+192x^114+60x^115+1620x^116+32x^117+18x^118+74x^120+24x^121+48x^123+12x^124+2x^174

The gray image is a code over GF(3) with n=522, k=7 and d=333.
This code was found by Heurico 1.16 in 0.102 seconds.