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

generates a code of length 46 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+88x^84+186x^85+134x^87+414x^88+142x^90+1050x^91+2916x^92+150x^93+1002x^94+84x^96+114x^97+72x^99+84x^100+32x^102+54x^103+12x^105+12x^106+10x^108+2x^114+2x^132

The gray image is a code over GF(3) with n=414, k=8 and d=252.
This code was found by Heurico 1.16 in 0.204 seconds.