The generator matrix

 1  0  0  1  1  1  1  1  1  1 2X+3  1  X  1  1 2X+6  1  1 X+6  1  1  1 2X+3  1  1  0  1  1  1  1  1  0  1  6  1 2X+6  1  1  1 X+6  1 X+6  1  X  6  1  1  1  1  1  3  1  1  1  1 2X+3  1  1 2X+6  1  0  1  1 X+3 2X+3 2X+3  1
 0  1  0  0  6 2X+4 2X+4 X+8  1 X+2  1  2  1  6  2  1 X+2  1  1 2X+6  7 2X+1 2X+6 X+2  X  1 X+6 2X+8 X+7  0 2X+1 2X+3 X+7  1 2X+8  1  6 X+6 2X+3  1  4  1 2X+1  1  6 2X 2X+2 X+4  6  2  1 2X+6  4 X+5 X+1  1  8  2  1  5  1 2X+1  8  1  1  1  6
 0  0  1  1  2  2 2X+3  1  7 2X+3 2X+7 X+2 X+8  0  4 2X+3 2X+6  2 X+2  8 2X+4  6  1  8 X+1 X+4 X+7 X+5 X+6 X+2 X+4  1 X+5  5 2X+7 2X+6 X+4  0 2X+2 X+7 X+6  2 2X+7 2X+3  1 2X+7 2X+1 2X+8 2X+3 X+3 X+4 X+2 X+4 2X+6 X+8  8 2X+3 2X+8  4 2X+8 2X+1 2X+6  2  2  3  5  X
 0  0  0 2X  3  6  0  6  0  3  0  3  6  X 2X+3 2X 2X+6 2X+6 X+6 X+3 2X+3 2X X+6 2X+3  X 2X+6  3 X+6 X+3 2X+3 X+3  3  X 2X X+3  X 2X+6 X+3 X+6 X+3  3  3 2X+6 2X+6 X+6 2X  0  X  0  0  X 2X+3  6 X+3  6 2X+6 2X  X 2X+6  6  0 X+6 2X+3 X+6  6 2X+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+330x^123+408x^124+1920x^125+2742x^126+3720x^127+6774x^128+7770x^129+8676x^130+14004x^131+13048x^132+15486x^133+20820x^134+17206x^135+15198x^136+17808x^137+11504x^138+7530x^139+6270x^140+2922x^141+1350x^142+816x^143+412x^144+72x^145+72x^146+124x^147+48x^148+30x^149+62x^150+6x^152+6x^153+6x^155+6x^156

The gray image is a code over GF(3) with n=603, k=11 and d=369.
This code was found by Heurico 1.16 in 67.9 seconds.