The generator matrix

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

generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+130x^87+180x^88+138x^89+480x^90+690x^91+426x^92+676x^93+1176x^94+606x^95+1064x^96+1434x^97+840x^98+1072x^99+1614x^100+858x^101+1202x^102+1722x^103+822x^104+994x^105+1170x^106+480x^107+606x^108+558x^109+174x^110+214x^111+180x^112+30x^113+60x^114+24x^115+28x^117+12x^120+20x^123+2x^129

The gray image is a linear code over GF(3) with n=150, k=9 and d=87.
This code was found by Heurico 1.16 in 4.36 seconds.