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

generates a code of length 91 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+150x^171+174x^172+306x^173+454x^174+342x^175+516x^176+522x^177+540x^178+972x^179+1884x^180+1782x^181+4242x^182+3010x^183+1458x^184+1242x^185+400x^186+204x^187+138x^188+206x^189+120x^190+186x^191+134x^192+120x^193+102x^194+150x^195+66x^196+24x^197+78x^198+48x^199+18x^200+44x^201+6x^202+30x^203+12x^204+2x^258

The gray image is a code over GF(3) with n=819, k=9 and d=513.
This code was found by Heurico 1.16 in 3.15 seconds.