The generator matrix

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

generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+174x^93+108x^94+144x^95+314x^96+120x^97+138x^98+268x^99+90x^100+54x^101+142x^102+48x^103+72x^104+118x^105+90x^106+60x^107+102x^108+18x^109+84x^111+6x^112+18x^113+6x^114+6x^115+4x^117+2x^138

The gray image is a linear code over GF(3) with n=150, k=7 and d=93.
This code was found by Heurico 1.16 in 0.0855 seconds.