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

generates a code of length 84 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+1072x^156+2262x^157+5304x^158+7894x^159+9804x^160+15282x^161+17866x^162+22548x^163+31182x^164+33540x^165+38526x^166+49998x^167+47742x^168+43260x^169+49164x^170+41580x^171+33474x^172+30576x^173+20086x^174+12864x^175+8958x^176+4358x^177+2334x^178+882x^179+462x^180+78x^181+84x^182+82x^183+60x^184+36x^185+24x^186+24x^187+12x^188+10x^189+6x^190+6x^191

The gray image is a code over GF(3) with n=756, k=12 and d=468.
This code was found by Heurico 1.16 in 691 seconds.