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

generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+102x^123+144x^124+144x^125+612x^126+186x^127+198x^128+966x^129+546x^130+630x^131+2892x^132+1548x^133+2430x^134+4558x^135+1542x^136+684x^137+1004x^138+132x^139+162x^140+318x^141+156x^142+72x^143+262x^144+72x^145+36x^146+116x^147+42x^148+18x^149+72x^150+6x^151+28x^153+2x^162+2x^183

The gray image is a code over GF(3) with n=603, k=9 and d=369.
This code was found by Heurico 1.16 in 2.19 seconds.