The generator matrix

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

generates a code of length 78 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+810x^144+1710x^145+4788x^146+6754x^147+8724x^148+14466x^149+18326x^150+22512x^151+30810x^152+35768x^153+37500x^154+47844x^155+50176x^156+48978x^157+51222x^158+44912x^159+32040x^160+28494x^161+19378x^162+11454x^163+8130x^164+3586x^165+1710x^166+702x^167+248x^168+96x^169+114x^170+80x^171+24x^172+42x^173+18x^174+6x^175+12x^176+6x^180

The gray image is a code over GF(3) with n=702, k=12 and d=432.
This code was found by Heurico 1.16 in 667 seconds.