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  X  X  X  X  X  X  X  X  X  X  1  1  X  X  X  X  X  X  3  3  X
 0  3  0  0  0  0  3  6  6  0  0  3  3  3  3  3  3  3  0  6  0  6  0  6  0  3  6  3  6  6  0  0  6  3  0  3  3  3  3  0  0  0  3  0  3  0  3  3  3  3  3  6  6  3  3  0  0  6  6  6  6  3  6  3  3  6
 0  0  3  0  0  3  6  0  6  0  3  3  6  6  0  3  0  3  3  3  3  0  0  6  6  3  3  6  0  6  0  3  3  0  6  6  0  3  0  6  6  6  3  6  6  0  6  6  3  3  0  3  6  0  0  0  0  3  0  6  0  3  3  3  0  3
 0  0  0  3  0  6  6  3  0  3  3  0  0  3  6  3  3  6  6  0  0  6  6  6  6  6  3  3  0  3  6  3  6  6  3  6  3  0  0  0  3  0  3  6  0  0  6  3  0  6  6  0  6  3  0  0  3  0  0  6  0  3  6  0  6  6
 0  0  0  0  3  6  6  6  6  6  0  6  0  0  6  6  0  3  0  0  6  6  3  6  3  6  0  6  0  0  6  6  3  0  0  0  6  0  3  3  6  6  3  0  3  3  6  3  3  6  0  3  3  3  3  6  3  0  0  6  6  6  0  3  0  6

generates a code of length 66 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+86x^126+174x^127+162x^128+36x^129+126x^130+648x^131+48x^132+648x^134+34x^135+120x^136+14x^138+36x^139+4x^141+30x^145+10x^153+4x^162+4x^165+2x^168

The gray image is a code over GF(3) with n=594, k=7 and d=378.
This code was found by Heurico 1.16 in 0.499 seconds.