The generator matrix

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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+286x^120+198x^121+468x^122+894x^123+504x^124+360x^125+1286x^126+378x^127+324x^128+930x^129+342x^130+288x^131+222x^132+36x^133+18x^134+12x^135+6x^138+4x^144+2x^153+2x^174

The gray image is a code over GF(3) with n=567, k=8 and d=360.
This code was found by Heurico 1.16 in 0.206 seconds.