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

generates a code of length 86 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+590x^162+36x^164+1200x^165+90x^166+324x^167+1686x^168+486x^169+1836x^170+2794x^171+1674x^172+2988x^173+2538x^174+666x^175+648x^176+900x^177+434x^180+360x^183+234x^186+112x^189+78x^192+6x^195+2x^234

The gray image is a code over GF(3) with n=774, k=9 and d=486.
This code was found by Heurico 1.16 in 4.65 seconds.