The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+252x^108+84x^109+774x^110+886x^111+210x^112+576x^113+1080x^114+210x^115+858x^116+844x^117+132x^118+378x^119+236x^120+6x^121+2x^123+6x^124+6x^125+16x^126+2x^132+2x^159

The gray image is a code over GF(3) with n=513, k=8 and d=324.
This code was found by Heurico 1.16 in 0.16 seconds.