The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+714x^103+1518x^104+3944x^105+6438x^106+11172x^107+14458x^108+20496x^109+30312x^110+37470x^111+43290x^112+54342x^113+59294x^114+57792x^115+58032x^116+47420x^117+34764x^118+24762x^119+12948x^120+6588x^121+3450x^122+1526x^123+390x^124+78x^125+68x^126+90x^127+24x^128+18x^129+24x^130+18x^131

The gray image is a code over GF(3) with n=513, k=12 and d=309.
This code was found by Heurico 1.16 in 379 seconds.