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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+162x^126+324x^128+216x^129+18x^132+6x^135+2x^189

The gray image is a code over GF(3) with n=576, k=6 and d=378.
This code was found by Heurico 1.16 in 0.113 seconds.