The generator matrix

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

generates a code of length 42 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+438x^78+432x^79+1968x^80+1690x^81+1686x^82+2748x^83+2450x^84+1884x^85+2400x^86+1422x^87+804x^88+1128x^89+530x^90+42x^91+6x^92+14x^93+6x^94+12x^95+12x^96+6x^97+2x^99+2x^102

The gray image is a code over GF(3) with n=378, k=9 and d=234.
This code was found by Heurico 1.16 in 0.41 seconds.