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

generates a code of length 42 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+138x^76+102x^78+324x^79+166x^81+1254x^82+1674x^84+2154x^85+196x^87+276x^88+12x^90+132x^91+66x^94+22x^96+30x^97+8x^99+4x^105+2x^117

The gray image is a code over GF(3) with n=378, k=8 and d=228.
This code was found by Heurico 1.16 in 0.177 seconds.