The generator matrix

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

generates a code of length 44 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+270x^80+168x^81+378x^82+894x^83+738x^84+1188x^85+2484x^86+1884x^87+2430x^88+3192x^89+1950x^90+1728x^91+1716x^92+324x^93+108x^94+144x^95+6x^96+30x^98+6x^99+18x^101+12x^102+8x^108+6x^111

The gray image is a code over GF(3) with n=396, k=9 and d=240.
This code was found by Heurico 1.16 in 13 seconds.