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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+114x^102+96x^103+90x^104+300x^105+210x^106+186x^107+616x^108+660x^109+690x^110+1548x^111+1464x^112+2184x^113+2642x^114+1992x^115+2280x^116+2082x^117+1146x^118+228x^119+418x^120+114x^121+156x^122+156x^123+120x^124+18x^125+56x^126+30x^127+22x^129+30x^132+18x^135+4x^138+4x^141+8x^144

The gray image is a code over GF(3) with n=513, k=9 and d=306.
This code was found by Heurico 1.16 in 2.03 seconds.