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  X  1  1  1  1  1  1  1  1  X  1  1  1  1  1  0  X  X  1  1  1  1  0  1  X  1  0  1  1  X
 0  X 2X  0 X+3 2X  6 X+3 2X+6  0 X+3 2X  3 X+6 2X+3 2X X+3  0  3 2X  X 2X+6 X+3  0  6 X+6  3 2X X+3 X+3 2X+3  6  6 2X+3  X  6 X+3 2X X+3  3 2X+6  0  X  X X+6 2X  0  6 2X+3  0 X+6  X X+3 2X  0  0 X+3 2X+3  X  0 2X 2X  X 2X+6 2X+6 X+3
 0  0  6  0  0  0  0  0  3  0  3  3  0  6  0  6  6  0  0  6  0  6  3  3  6  6  0  6  0  6  6  3  6  6  6  3  6  0  0  6  3  6  6  0  6  6  6  3  6  6  6  3  6  0  0  0  0  0  0  6  6  0  6  0  3  3
 0  0  0  6  0  0  3  0  0  6  3  3  6  6  6  0  3  3  6  6  6  6  0  3  6  6  3  3  6  0  3  0  0  3  6  0  0  0  0  3  0  6  0  3  3  0  6  0  6  3  6  6  6  6  0  0  3  6  3  0  3  6  3  0  0  3
 0  0  0  0  3  0  0  6  0  3  3  6  6  3  3  6  6  0  6  0  3  6  6  3  0  0  3  3  3  6  0  3  6  0  6  0  0  0  3  3  6  3  3  6  0  3  0  0  6  6  0  6  6  0  0  6  6  3  3  0  6  0  3  3  3  3
 0  0  0  0  0  6  0  0  3  3  0  3  6  0  6  3  6  6  3  3  6  6  0  0  0  3  0  6  3  6  0  3  3  3  0  3  0  3  6  6  3  3  3  6  0  3  3  6  3  6  6  6  0  0  6  3  0  0  0  0  0  3  6  6  0  3

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+230x^120+640x^123+1272x^126+4020x^129+6898x^132+5094x^135+814x^138+428x^141+170x^144+52x^147+16x^150+16x^153+12x^156+10x^159+6x^162+2x^165+2x^171

The gray image is a code over GF(3) with n=594, k=9 and d=360.
This code was found by Heurico 1.16 in 23.7 seconds.