The generator matrix

 1  0  0  0  1  1  1  3  1  1  1  1  1 X+3 X+3  1  1  6  1  1  1  1  1  1  1  1 X+3  1  3 X+6  1  1  6  1 2X  1  1 X+3  1 X+6  1  1  1 X+3  X  1  X  1  1  1  1  1  1  1 X+3  1  1  1 2X  1  1  1  6  X  1  1  1
 0  1  0  0  3  1  7  1  X X+6 2X+8 2X+5 X+7  1 2X X+2 X+1  1  5 2X  2 2X+1 X+7 2X+3 2X  2 X+3  1  1  1 X+1  3  1  6  1 2X+5 X+2  1 X+6  1  7 2X+8 2X+5  3  1  8  6 X+5  1  5 X+1 X+1  4  2  1 2X+6  4 2X+3 2X 2X+1 X+5 2X+7 2X 2X+6  6  X X+6
 0  0  1  0 2X+4 2X+1 X+2 2X+4 X+1 X+5  6  4 X+7 X+1  1  2 2X X+2  X X+2 2X+7  5  1 X+1 2X+6 X+1  1 X+3  8  X  X X+6 2X+8 2X+2 X+6  8 2X  4 2X X+1 2X+8  5 X+1  1  3 2X+4  0  3  1 X+6 2X+6 2X+1  8 X+4 X+8 2X+5 X+5 2X+5 2X+6 X+3 X+5  7  1  1 X+5 X+2 X+6
 0  0  0  1 2X+2  6 2X+8 2X+8  7  X  1 X+6  5 X+6 X+2 X+5  3 2X+4  8 2X+1 2X+4 X+7  7  0 X+8 2X+2  4 X+7 X+2 X+5 X+8 2X+7 2X X+5  7 2X+7  X 2X+2 X+4  1 2X+2 X+3 X+8  8 2X  1  1  1 X+6  0 X+3 2X+7  6  0  X  X  8 2X+2  1  3 X+5  7 2X+5 2X X+3 2X+7  2

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+1374x^123+2634x^124+5352x^125+8272x^126+11994x^127+17148x^128+23612x^129+29610x^130+35094x^131+42996x^132+50082x^133+51804x^134+54666x^135+52908x^136+46170x^137+36864x^138+25782x^139+16200x^140+10160x^141+5016x^142+2070x^143+958x^144+270x^145+96x^146+136x^147+48x^148+42x^149+34x^150+12x^151+12x^152+18x^153+6x^154

The gray image is a code over GF(3) with n=603, k=12 and d=369.
This code was found by Heurico 1.16 in 540 seconds.