The generator matrix

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

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+174x^105+126x^106+306x^107+796x^108+864x^109+738x^110+1760x^111+1926x^112+1224x^113+2456x^114+2844x^115+1476x^116+2144x^117+1458x^118+558x^119+452x^120+72x^121+72x^122+154x^123+46x^126+16x^129+6x^132+10x^135+4x^138

The gray image is a code over GF(3) with n=513, k=9 and d=315.
This code was found by Heurico 1.16 in 1.04 seconds.