The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+654x^105+396x^106+918x^107+2184x^108+2430x^109+2826x^110+3942x^111+5508x^112+6318x^113+6162x^114+7758x^115+6804x^116+4530x^117+3888x^118+2088x^119+1344x^120+432x^121+480x^123+294x^126+78x^129+12x^132+2x^135

The gray image is a code over GF(3) with n=513, k=10 and d=315.
This code was found by Heurico 1.16 in 31 seconds.