The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+228x^102+240x^103+684x^104+1460x^105+1086x^106+3078x^107+3434x^108+2406x^109+6522x^110+7184x^111+3786x^112+8802x^113+6944x^114+3282x^115+5082x^116+2780x^117+696x^118+522x^119+288x^120+78x^121+54x^122+192x^123+60x^124+30x^125+72x^126+30x^127+12x^128+4x^129+8x^132+4x^135

The gray image is a code over GF(3) with n=504, k=10 and d=306.
This code was found by Heurico 1.16 in 8.54 seconds.