The generator matrix

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

generates a code of length 72 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+498x^132+876x^133+3834x^134+6084x^135+8466x^136+14166x^137+17912x^138+20544x^139+30900x^140+36964x^141+38796x^142+49914x^143+54326x^144+48756x^145+53454x^146+44790x^147+31758x^148+28392x^149+19328x^150+10068x^151+6732x^152+2784x^153+1044x^154+534x^155+214x^156+60x^157+102x^158+54x^159+12x^160+36x^161+12x^162+12x^164+12x^165+6x^167

The gray image is a code over GF(3) with n=648, k=12 and d=396.
This code was found by Heurico 1.16 in 503 seconds.