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

generates a code of length 45 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+106x^78+90x^80+334x^81+18x^82+174x^83+446x^84+144x^85+702x^86+580x^87+3348x^88+2214x^89+638x^90+6408x^91+2226x^92+766x^93+288x^94+270x^95+438x^96+126x^98+208x^99+30x^101+52x^102+40x^105+14x^108+14x^111+4x^114+2x^117+2x^123

The gray image is a code over GF(3) with n=405, k=9 and d=234.
This code was found by Heurico 1.16 in 1.5 seconds.