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

generates a code of length 42 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+228x^80+214x^81+162x^82+342x^83+350x^84+324x^85+318x^86+120x^87+42x^89+22x^90+18x^92+20x^93+24x^95+2x^111

The gray image is a code over GF(3) with n=378, k=7 and d=240.
This code was found by Heurico 1.16 in 0.281 seconds.