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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+60x^121+36x^123+204x^124+1644x^126+108x^127+66x^130+18x^132+48x^133+2x^189

The gray image is a code over GF(3) with n=567, k=7 and d=363.
This code was found by Heurico 1.16 in 0.132 seconds.