The generator matrix

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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+1082x^81+1206x^82+2016x^83+5082x^84+4302x^85+4590x^86+7248x^87+6264x^88+6426x^89+8840x^90+4734x^91+2736x^92+2958x^93+990x^94+270x^95+204x^96+92x^99+6x^102+2x^108

The gray image is a code over GF(3) with n=396, k=10 and d=243.
This code was found by Heurico 1.16 in 11.1 seconds.