The generator matrix

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

generates a code of length 42 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+480x^78+378x^79+1644x^80+2280x^81+1932x^82+2124x^83+2576x^84+1758x^85+1920x^86+2144x^87+900x^88+930x^89+512x^90+48x^91+18x^92+10x^93+6x^94+6x^95+10x^96+6x^99

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 0.525 seconds.