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

generates a code of length 67 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+234x^124+306x^125+124x^126+498x^127+558x^128+198x^129+1134x^130+1284x^131+1034x^132+3048x^133+3168x^134+1970x^135+2928x^136+1266x^137+166x^138+420x^139+336x^140+70x^141+186x^142+186x^143+38x^144+150x^145+120x^146+30x^147+84x^148+54x^149+12x^150+60x^151+12x^152+6x^154+2x^183

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 80.5 seconds.