The generator matrix

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

generates a code of length 44 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+294x^79+606x^80+820x^81+1428x^82+2250x^83+3250x^84+3600x^85+5508x^86+7234x^87+6396x^88+7998x^89+7842x^90+4560x^91+3300x^92+1898x^93+936x^94+558x^95+56x^96+222x^97+162x^98+40x^99+60x^100+30x^101

The gray image is a code over GF(3) with n=396, k=10 and d=237.
This code was found by Heurico 1.16 in 10.5 seconds.