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

generates a code of length 97 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+138x^183+246x^184+246x^185+490x^186+492x^187+510x^188+1152x^189+942x^190+1032x^191+2032x^192+1956x^193+1410x^194+2706x^195+1740x^196+1164x^197+1324x^198+498x^199+192x^200+248x^201+126x^202+144x^203+170x^204+120x^205+72x^206+94x^207+102x^208+36x^209+86x^210+42x^211+36x^212+24x^213+24x^214+18x^215+36x^216+24x^217+2x^219+6x^220+2x^255

The gray image is a code over GF(3) with n=873, k=9 and d=549.
This code was found by Heurico 1.16 in 3.42 seconds.