The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+936x^146+1558x^147+4260x^148+7212x^149+10006x^150+13938x^151+19128x^152+22256x^153+30180x^154+33846x^155+41054x^156+47088x^157+49296x^158+48768x^159+47970x^160+44922x^161+34944x^162+28680x^163+18720x^164+11796x^165+7296x^166+4200x^167+1764x^168+792x^169+468x^170+96x^171+72x^172+84x^173+36x^174+18x^175+24x^176+8x^177+12x^178+12x^179

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 566 seconds.