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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+264x^112+314x^114+402x^115+162x^116+556x^117+366x^118+12x^120+54x^121+4x^123+30x^124+2x^126+12x^127+6x^130+2x^162

The gray image is a code over GF(3) with n=522, k=7 and d=336.
This code was found by Heurico 1.16 in 0.229 seconds.