The generator matrix

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

generates a code of length 96 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+300x^181+468x^182+740x^183+1242x^184+1944x^185+2510x^186+2724x^187+3204x^188+4460x^189+3516x^190+4608x^191+6480x^192+4560x^193+4728x^194+5706x^195+3390x^196+2736x^197+2262x^198+1152x^199+852x^200+366x^201+348x^202+228x^203+24x^204+96x^205+60x^206+12x^207+108x^208+84x^209+6x^210+24x^211+12x^212+22x^213+36x^214+12x^215+6x^216+18x^218+2x^219+2x^228

The gray image is a code over GF(3) with n=864, k=10 and d=543.
This code was found by Heurico 1.16 in 17.5 seconds.