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

generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+444x^105+366x^108+306x^111+4374x^112+720x^114+108x^117+18x^120+126x^123+90x^126+6x^132+2x^162

The gray image is a code over GF(3) with n=504, k=8 and d=315.
This code was found by Heurico 1.16 in 86.9 seconds.