The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  X  1  1  1  3
 0  X  0  0 2X X+3 2X+3  X 2X  6  X  X 2X+3 X+3  0  6 2X+3 X+3  3 2X+6  6  6 X+3 2X  X 2X+3 2X  3 X+6  X 2X+3 2X+6 X+3 X+6  3 X+3  X 2X  3 2X  X  X
 0  0  X 2X  6 2X+3 X+6  X 2X+3  3 X+6  3 X+6 2X  X 2X  0 X+6 X+3 2X+6 2X+3  3 2X  X  3  3 2X 2X+3 2X+6 2X+6  0  0  X  3 X+6  X  3  3  0 2X+3 X+6 X+3
 0  0  0  6  0  0  3  6  3  3  3  6  6  3  6  3  3  0  3  0  0  6  6  0  3  6  6  3  6  3  6  6  0  3  3  6  0  3  6  0  6  6

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+398x^78+108x^80+630x^81+810x^82+432x^83+1406x^84+1620x^85+432x^86+292x^87+220x^90+142x^93+66x^96+2x^99+2x^117

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 0.355 seconds.