The generator matrix

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

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+62x^78+24x^79+90x^80+268x^81+444x^82+504x^83+1286x^84+2364x^85+1674x^86+5464x^87+6726x^88+3222x^89+10564x^90+8910x^91+3204x^92+7146x^93+4656x^94+1404x^95+446x^96+162x^97+90x^98+180x^99+42x^100+18x^101+34x^102+18x^105+28x^108+8x^111+4x^114+2x^117+4x^120

The gray image is a code over GF(3) with n=405, k=10 and d=234.
This code was found by Heurico 1.16 in 6.64 seconds.