The generator matrix

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

generates a code of length 69 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+270x^126+996x^127+3144x^128+6130x^129+8724x^130+11736x^131+17352x^132+22680x^133+28278x^134+38322x^135+42468x^136+46752x^137+55302x^138+53454x^139+48846x^140+48298x^141+36114x^142+24378x^143+18156x^144+9810x^145+5886x^146+2394x^147+1080x^148+528x^149+74x^150+84x^151+48x^152+38x^153+24x^154+18x^155+44x^156+12x^157

The gray image is a code over GF(3) with n=621, k=12 and d=378.
This code was found by Heurico 1.16 in 578 seconds.