The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+408x^106+1020x^107+2432x^108+2664x^109+3576x^110+5650x^111+4962x^112+4698x^113+6872x^114+6678x^115+4860x^116+5890x^117+3420x^118+2190x^119+2100x^120+732x^121+630x^122+116x^123+60x^124+24x^125+8x^126+18x^127+12x^128+14x^129+12x^130+2x^132

The gray image is a code over GF(3) with n=513, k=10 and d=318.
This code was found by Heurico 1.16 in 6.29 seconds.