The generator matrix

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

generates a code of length 69 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+140x^129+108x^130+702x^131+970x^132+372x^133+1764x^134+1158x^135+396x^136+3234x^137+2248x^138+528x^139+3414x^140+1808x^141+348x^142+1470x^143+564x^144+126x^145+60x^146+70x^147+48x^148+42x^149+60x^150+18x^151+6x^152+12x^153+8x^156+2x^159+2x^162+4x^168

The gray image is a code over GF(3) with n=621, k=9 and d=387.
This code was found by Heurico 1.16 in 1.3 seconds.