The generator matrix

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

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+154x^123+168x^124+438x^125+1012x^126+1356x^127+1650x^128+3008x^129+3042x^130+3864x^131+4966x^132+5670x^133+6366x^134+6544x^135+5610x^136+5088x^137+4038x^138+2526x^139+1386x^140+992x^141+462x^142+78x^143+236x^144+84x^145+48x^146+112x^147+30x^148+24x^149+42x^150+12x^152+24x^153+6x^154+4x^156+2x^159+4x^162+2x^165

The gray image is a code over GF(3) with n=603, k=10 and d=369.
This code was found by Heurico 1.16 in 10.5 seconds.