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  9  0  0  0  0  0 18  9 18  0  9  9  9  9  9  9  0  0  9  0  9  9  0  9  0 18  0  0 18  0  9  9  0  9  9  0  9  9  0  0  0  9  9 18 18 18 18 18 18  9 18  0 18 18 18 18  0  9  0  9 18 18  9  9
 0  0  9  0  0  0  9 18 18  0  9  9 18 18  0  9  0  0  9  9  9  9  0  0 18  9  9  0  9  0 18  9  9 18 18  0  0 18  0  9  0  9 18  0  9 18  9 18  9 18 18 18 18  0 18  0  0 18  9 18 18  9 18  0  0
 0  0  0  9  0  9 18  0 18  0  0  9  9 18 18  0  9 18 18 18  9  9 18 18  9  0  9 18 18  9  0  0 18  9  0  9  9  0  0  9  0  9  9  0 18 18 18 18  0  0 18  0  0  0  9 18 18 18  9 18  0 18  9 18  0
 0  0  0  0  9 18 18 18 18  9 18 18 18  0  9 18  0  9  9  0  9  0 18  0  9  9  9 18  0 18 18  9  9  0  0  9  9  9 18 18 18  0  0  9  9 18  0  0  0  0  9  9  0  0  9  0  9  0  9  9 18 18 18 18  0

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

Homogenous weight enumerator: w(x)=1x^0+204x^126+216x^129+1458x^130+216x^132+72x^135+18x^144+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 0.354 seconds.