The generator matrix

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

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+720x^79+1386x^80+2012x^81+5034x^82+6534x^83+7534x^84+15294x^85+15222x^86+16612x^87+25602x^88+23766x^89+17734x^90+19482x^91+10038x^92+4754x^93+3588x^94+1176x^95+164x^96+192x^97+174x^98+26x^99+72x^100+24x^101+6x^102

The gray image is a code over GF(3) with n=396, k=11 and d=237.
This code was found by Heurico 1.16 in 322 seconds.