The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+122x^102+108x^103+120x^104+356x^105+768x^106+972x^107+658x^108+3366x^109+3174x^110+1534x^111+9102x^112+5736x^113+2546x^114+11670x^115+6300x^116+1918x^117+6294x^118+2490x^119+500x^120+726x^121+138x^122+242x^123+36x^124+18x^125+58x^126+6x^127+6x^128+24x^129+18x^132+16x^135+16x^138+6x^141+2x^144+2x^153

The gray image is a code over GF(3) with n=513, k=10 and d=306.
This code was found by Heurico 1.16 in 8.94 seconds.