The generator matrix

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

generates a code of length 68 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+396x^124+918x^125+2982x^126+5226x^127+8994x^128+12736x^129+16542x^130+22596x^131+29946x^132+35202x^133+40536x^134+52000x^135+52968x^136+52974x^137+55366x^138+44256x^139+35544x^140+25732x^141+17124x^142+9696x^143+5554x^144+2148x^145+1188x^146+502x^147+54x^148+54x^149+74x^150+54x^151+24x^152+30x^153+12x^154+6x^155+6x^157

The gray image is a code over GF(3) with n=612, k=12 and d=372.
This code was found by Heurico 1.16 in 469 seconds.