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

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+48x^78+192x^80+58x^81+372x^83+1030x^84+324x^86+30x^87+60x^89+16x^90+24x^92+24x^93+6x^96+2x^120

The gray image is a code over GF(3) with n=378, k=7 and d=234.
This code was found by Heurico 1.16 in 0.0408 seconds.