The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+72x^110+58x^111+684x^112+360x^113+144x^114+360x^115+144x^116+14x^117+252x^118+72x^119+18x^120+2x^129+6x^132

The gray image is a code over GF(3) with n=513, k=7 and d=330.
This code was found by Heurico 1.16 in 0.0574 seconds.