The generator matrix

 1  0  0  1  1  1  1  1  1  3  1  1 X+3  1  6  1  1  1  1  1 2X+6  0  X  1  1  1  1 2X  1  1  1  1  1 2X+6  1 X+3  1  1 2X  1  1  1  1
 0  1  0  3 X+3 2X+4 2X+1 2X+2 2X+5  1 X+4  2  1  6  1  X 2X+7 2X+8 X+2 X+6  1 2X  1 X+6 2X  1  7  1  8 X+7 2X+4 X+5  3  X X+5  1  4  2 2X  3 X+4 2X+5  0
 0  0  1 2X+4 2X+2 2X+5 2X+1  6  7  7 X+3 X+2 2X+2  X  X X+5 X+1 X+7  3 2X+7  8  1  7  4  8 X+3 X+8 X+8  7  4  2 X+5  8  1 2X+8  5 2X+8 2X+2  1 X+4  5 2X 2X+3

generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+396x^80+372x^81+2154x^82+1860x^83+1608x^84+2904x^85+2112x^86+1492x^87+2622x^88+1608x^89+696x^90+1206x^91+474x^92+120x^93+6x^94+24x^95+2x^96+18x^97+6x^98+2x^99

The gray image is a code over GF(3) with n=387, k=9 and d=240.
This code was found by Heurico 1.16 in 0.523 seconds.