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

generates a code of length 84 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+408x^158+276x^159+18x^160+768x^161+386x^162+90x^163+1518x^164+890x^165+1404x^166+3204x^167+2106x^168+2682x^169+2928x^170+926x^171+180x^172+510x^173+236x^174+300x^176+120x^177+246x^179+90x^180+156x^182+44x^183+120x^185+18x^186+36x^188+8x^189+12x^191+2x^234

The gray image is a code over GF(3) with n=756, k=9 and d=474.
This code was found by Heurico 1.16 in 6.27 seconds.