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

generates a code of length 46 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+164x^81+90x^82+72x^83+272x^84+180x^85+342x^86+440x^87+702x^88+108x^89+3712x^90+2196x^91+234x^92+6780x^93+2232x^94+450x^95+542x^96+270x^97+216x^98+266x^99+144x^100+18x^101+108x^102+18x^103+18x^104+38x^105+34x^108+22x^111+6x^114+6x^117+2x^126

The gray image is a code over GF(3) with n=414, k=9 and d=243.
This code was found by Heurico 1.16 in 1.53 seconds.