The generator matrix

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

generates a code of length 96 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+438x^180+738x^181+1980x^182+3016x^183+3852x^184+5496x^185+7544x^186+8454x^187+10428x^188+11764x^189+11634x^190+14724x^191+13588x^192+14016x^193+14718x^194+14238x^195+10536x^196+9618x^197+7206x^198+4788x^199+3468x^200+2174x^201+1194x^202+696x^203+304x^204+108x^205+60x^206+136x^207+60x^208+24x^209+50x^210+18x^211+6x^212+36x^213+18x^215+12x^216+6x^217

The gray image is a code over GF(3) with n=864, k=11 and d=540.
This code was found by Heurico 1.16 in 95.2 seconds.