The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  1  1  0  1  1  1  1  1  X  1  0  X  1  0  3  1  1  1  1  1  0
 0  X  0  0 2X X+3  X 2X+3 2X  6  3 X+3 X+3 2X+3 2X  3 X+6 2X+3  X X+3  X 2X  6 2X+6  0 X+3 2X+3  X  X  3  3  6 X+6 X+6 2X+6 2X+6  0  6 X+3 2X+6 2X+6  X  6  6 2X+6  X 2X+3  0 2X+3  3 2X+6  3 2X+3 2X+3  3 2X 2X  0  X 2X+3  X X+6 2X+6 X+6 2X+3  0 X+6 2X+6 X+6  6 2X+6  0 2X  X 2X  6  X  X  0  3 2X X+3 X+3  0
 0  0  X 2X  6 2X+3  X X+3 2X+6 2X+3  0 2X+3  6 2X  6  X  X X+6 2X  0 X+6 2X 2X+3 X+6 X+6  0  3 2X+3  X  0 2X+3  6 X+3  3 2X+6  X 2X+6 X+3 2X+6  3 X+6 X+6  3  6 2X+6  3  X  X  6 2X+3  3  X X+3  6 X+6 X+6  3  0  0 X+6 X+6 2X 2X 2X 2X  X X+6  X X+6 2X 2X+3 X+3 2X+3 2X+3  0  3  3 X+3 X+3 X+6 2X+6  6 X+6  X
 0  0  0  6  0  0  0  0  0  0  3  6  3  6  3  3  6  3  3  6  3  3  3  6  6  3  6  3  3  6  6  0  6  3  3  3  3  6  0  3  0  0  6  3  0  0  0  3  0  0  0  0  3  6  6  6  6  6  6  0  0  0  6  3  3  0  0  6  3  3  0  3  0  3  6  3  0  3  6  3  6  0  6  6

generates a code of length 84 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+330x^161+220x^162+126x^163+552x^164+514x^165+432x^166+846x^167+808x^168+702x^169+756x^170+504x^171+198x^172+174x^173+56x^174+90x^176+32x^177+90x^179+12x^180+30x^182+24x^183+36x^185+6x^186+12x^188+8x^189+2x^225

The gray image is a code over GF(3) with n=756, k=8 and d=483.
This code was found by Heurico 1.16 in 18.2 seconds.