The generator matrix

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

generates a code of length 44 over Z9[X]/(X^2+6,3X) 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 10.6 seconds.