The generator matrix

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

generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+342x^86+358x^87+426x^88+1080x^89+1308x^90+1074x^91+2196x^92+2254x^93+1470x^94+3654x^95+2760x^96+2046x^97+4608x^98+3266x^99+2574x^100+5112x^101+4026x^102+2562x^103+4584x^104+3022x^105+1872x^106+3156x^107+1858x^108+846x^109+1188x^110+628x^111+198x^112+294x^113+174x^114+48x^115+30x^116+20x^117+6x^118+4x^123+4x^129

The gray image is a linear code over GF(3) with n=150, k=10 and d=86.
This code was found by Heurico 1.16 in 43.9 seconds.