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

generates a code of length 65 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+218x^126+510x^129+972x^130+382x^132+64x^135+36x^138+2x^141+2x^189

The gray image is a code over GF(3) with n=585, k=7 and d=378.
This code was found by Heurico 1.16 in 0.148 seconds.