The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  0  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1  1  9 12  6  1  1  1  1  1  1  9 12  1  1  1  6  1  1  1 12  1  1  1  1  1  1 21  3  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  0 16 26 24  1  4 23  1 21 19 20  1  9 12  6 16 13 10  8 11  5  1  1  1  9 12  7 13  8 11  1  1  6 10 14  1  9  7 26  1 12 21 24  0 16 20  1 15  6  5
 0  0  9  0 18 18  9  9  9  0 18 18  9 18  9 18 18  0  0  0  0  9 18  9 18  9  0  0  9 18 18  0  9  9 18  0  9  0  0 18  9 18  0  9  9  0  9  9  0 18 18  0 18  9  0 18  9  0 18  9 18  0

generates a code of length 62 over Z27 who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+390x^121+408x^122+8x^123+768x^124+198x^125+8x^126+102x^127+144x^128+4x^129+144x^130+6x^131+2x^138+4x^141

The gray image is a code over GF(3) with n=558, k=7 and d=363.
This code was found by Heurico 1.16 in 0.0893 seconds.