The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+600x^106+900x^107+2256x^108+3174x^109+3342x^110+4826x^111+5388x^112+4956x^113+6356x^114+7170x^115+5268x^116+5174x^117+3888x^118+2172x^119+1934x^120+1056x^121+318x^122+100x^123+42x^124+36x^125+6x^126+48x^127+12x^128+2x^129+18x^130+6x^134

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 6.92 seconds.