The generator matrix

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

generates a code of length 42 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+828x^77+1850x^78+1620x^79+3936x^80+5344x^81+3816x^82+7380x^83+8232x^84+5724x^85+7650x^86+6308x^87+2376x^88+2376x^89+1304x^90+72x^91+108x^92+30x^93+72x^95+14x^96+6x^98+2x^99

The gray image is a code over GF(3) with n=378, k=10 and d=231.
This code was found by Heurico 1.16 in 15.6 seconds.