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

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

Homogenous weight enumerator: w(x)=1x^0+270x^123+1752x^126+54x^129+108x^132+2x^189

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 0.184 seconds.