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  X  1  1  0  1  1  1  0  1  1  X  1  0  X  1
 0  X  0  0 2X X+6 2X+6  X 2X  3  X  X 2X+6 X+6  0  3 2X+6 2X  3 X+6  3  6 2X+6 X+6  X 2X 2X+3  3 X+3 2X+6  6 X+6 2X+6  3 X+3 X+6  X  6 2X  0 2X+6  0 2X+3 X+6  X X+3  0 2X+6  X X+3  6 2X+6 X+3  X  0  6
 0  0  X 2X  3 2X+6 X+3  X 2X+6  6 X+3  6 X+3 2X  X 2X  0 2X  6  6 2X+3 X+6  0 2X+6 X+3 X+3 2X+3 2X+3 2X+3  X  X  X  3  3  3 X+3 2X+3  6 2X+3 2X+6 2X+6 2X 2X+6 X+3 2X  6 X+6 2X+6  0 X+6  X X+3  X  6 X+6  6
 0  0  0  3  0  0  6  3  6  6  6  3  3  6  3  6  6  3  3  6  0  6  3  3  0  0  0  3  3  0  3  0  0  0  6  0  0  3  3  6  0  3  6  6  0  6  0  3  6  6  0  6  3  6  0  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+192x^105+174x^106+186x^107+496x^108+324x^109+618x^110+880x^111+948x^112+918x^113+784x^114+390x^115+150x^116+114x^117+54x^118+42x^119+92x^120+42x^121+18x^122+66x^123+12x^124+6x^125+46x^126+6x^128+2x^150

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 0.261 seconds.