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

generates a code of length 79 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+960x^146+1596x^147+4182x^148+7050x^149+9406x^150+15090x^151+18792x^152+21512x^153+30960x^154+36546x^155+36954x^156+48384x^157+51366x^158+44044x^159+52188x^160+44142x^161+32926x^162+28500x^163+20142x^164+11418x^165+8016x^166+4296x^167+1594x^168+702x^169+312x^170+146x^171+30x^172+72x^173+36x^174+24x^175+18x^176+18x^177+6x^178+6x^179+6x^182

The gray image is a code over GF(3) with n=711, k=12 and d=438.
This code was found by Heurico 1.16 in 677 seconds.