The generator matrix

 1  0  0  0  0  1  1  1  0  1 2X  1 2X  1  1  1  1 2X  1  1  1  0  1 2X  1  1  1  1  1  1  0  1  1 2X  1  1 2X  1  1 2X  1  1  X  1  1  1  0  1  1  1  1
 0  1  0  0  0 2X  1  1  1  X  0 2X+1  1 X+1 X+2 2X+2 2X+2  X  1  1 X+2  1 2X+1 2X  X  2  2  X 2X 2X+1  1 X+2 X+2 2X 2X X+1  1  X X+1  1  2  1  1 X+2 2X+2 X+1  0 2X+2 2X+2 X+1  0
 0  0  1  0  0  0  0 2X 2X  X 2X 2X  0  0 2X 2X  X  1 X+2 2X+2  1  2 2X+2  1 2X+1  2 2X+2 X+1  2  1 2X+1  1  2  1 X+1  2 X+2  0 2X+2  2 X+2 X+1  1 2X X+1 X+1  X X+2 X+1 2X+1  0
 0  0  0  1  0 2X+1  1 X+2  1 X+2  1  X  2 2X 2X  2 X+1  1 2X+2 X+1  X  X  X X+2  X X+2  1 2X+1 X+1 X+1 X+2 2X+2 X+2  2  X  1 2X 2X+2  1 2X  2 X+2 X+1  X 2X+1 2X  X 2X  0  0  X
 0  0  0  0  1 2X+2  X 2X+2 X+2  1 2X+1 2X+1  1 X+2  0  1 X+2  2 2X+1  2 X+2 2X+1 2X X+1 X+1  0 X+1  X  1  0  0 2X 2X+2  X  0  1 2X X+2 2X 2X+2 2X+1  2 X+1 X+1 2X+1 X+1  1  1 X+1  0  0

generates a code of length 51 over Z3[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+114x^87+126x^88+378x^89+868x^90+798x^91+1110x^92+1912x^93+1524x^94+1782x^95+2574x^96+2364x^97+2622x^98+4050x^99+2946x^100+3234x^101+4546x^102+3504x^103+3228x^104+4310x^105+3318x^106+2772x^107+3206x^108+2010x^109+1566x^110+1792x^111+750x^112+660x^113+554x^114+132x^115+114x^116+110x^117+24x^118+30x^119+6x^120+8x^123+6x^129

The gray image is a linear code over GF(3) with n=153, k=10 and d=87.
This code was found by Heurico 1.16 in 36.8 seconds.