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

generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+210x^124+366x^125+140x^126+396x^127+600x^128+156x^129+1152x^130+954x^131+1134x^132+3096x^133+3696x^134+1828x^135+3066x^136+930x^137+228x^138+390x^139+276x^140+92x^141+210x^142+234x^143+32x^144+150x^145+126x^146+12x^147+60x^148+84x^149+14x^150+12x^151+24x^152+6x^153+6x^154+2x^186

The gray image is a code over GF(3) with n=603, k=9 and d=372.
This code was found by Heurico 1.16 in 61.1 seconds.