The generator matrix

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

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+88x^78+216x^79+744x^80+400x^81+324x^82+1110x^83+694x^84+648x^85+1242x^86+474x^87+270x^88+282x^89+28x^90+24x^92+10x^93+4x^102+2x^114

The gray image is a code over GF(3) with n=378, k=8 and d=234.
This code was found by Heurico 1.16 in 0.0938 seconds.