The generator matrix

 1  0  1  1  1  1  1  X  1  1 2X  1  1  1 2X  1  1  1  1  6  1 X+3  1  1  1 X+6  1  1 X+6  1 2X+6  1  1  1  1  1  1  6  1  1 X+3  1  1  1  X  1  1  X  1  1  1  1  1
 0  1  1  8  6 2X+1  8  1 2X+7  8  1  0  3 2X+1  1 2X+5  X X+5  1  1  7  1 X+5 2X+6 X+7  1  6  8  1 X+5  1 X+6 X+7  7  2 2X+8 2X+4  1 2X  0  1 2X+7 X+4 2X  1  0 2X+1  1 X+8 X+5 2X+8  2  X
 0  0 2X  0  6  0  0  3  6  6  0 X+6 2X  X 2X+6 X+6 2X 2X+3 2X 2X+6  3 X+6 X+6  X 2X X+6  X 2X+6  X 2X X+6  3 2X+3  3 X+3 2X+3  3 X+6 2X 2X+6  0  X  X X+3  3 X+6 2X+3  0  6  3 X+3 X+3 2X+3
 0  0  0  X X+6 X+3  3  X 2X+6 2X+3 2X+3 X+6 2X+3 2X+3 2X+3  3  X 2X X+3  X  3 X+6 X+3  6 2X+6  6 2X+6 X+6 2X  6  6 2X  0  6 2X+6  3 2X+3 X+6 X+6  6 2X X+3 X+6  6 2X+3 2X+3  X  X  0 2X 2X 2X+3 X+6

generates a code of length 53 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+86x^96+150x^97+780x^98+906x^99+1710x^100+2604x^101+2474x^102+4698x^103+5190x^104+5568x^105+8100x^106+7104x^107+5836x^108+6102x^109+3888x^110+1540x^111+936x^112+582x^113+230x^114+120x^115+180x^116+70x^117+36x^118+78x^119+54x^120+18x^121+6x^122+2x^123

The gray image is a code over GF(3) with n=477, k=10 and d=288.
This code was found by Heurico 1.16 in 7.44 seconds.