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

generates a code of length 68 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+88x^123+48x^124+96x^125+240x^126+144x^127+222x^128+434x^129+312x^130+642x^131+584x^132+1212x^133+2946x^134+666x^135+2226x^136+4890x^137+688x^138+1566x^139+1080x^140+414x^141+144x^142+198x^143+198x^144+114x^145+126x^146+188x^147+66x^148+6x^149+68x^150+24x^153+18x^156+16x^159+10x^162+4x^165+2x^171+2x^180

The gray image is a code over GF(3) with n=612, k=9 and d=369.
This code was found by Heurico 1.16 in 2.54 seconds.