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  1  1 21  3  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 16 13  6 10  8 11  5  1  1  1  9 12  7 13  8 11  1  1  6 10 14  1  9  7 26  1 21 15  0 12 16 13  4  8  1 18 25
 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  9  0 18 18  0  9  9 18  0  9  0  0 18  9 18  0  9  9  0  9  9  0 18 18  0  9  0 18 18  9  0  9  0 18  9 18

generates a code of length 63 over Z27 who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+246x^123+702x^124+466x^126+360x^127+90x^129+198x^130+78x^132+36x^133+6x^135+4x^144

The gray image is a code over GF(3) with n=567, k=7 and d=369.
This code was found by Heurico 1.16 in 8.66 seconds.