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

generates a code of length 67 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+270x^126+590x^129+870x^132+2916x^134+992x^135+550x^138+144x^141+128x^144+64x^147+30x^150+2x^153+2x^156+2x^189

The gray image is a code over GF(3) with n=603, k=8 and d=378.
This code was found by Heurico 1.16 in 0.436 seconds.