The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  X  1  X  X
 0  X  0  0  0  0  X 2X 2X  0  0  X  X  X  X  X  X  X  0 2X  0 2X  0 2X  0  X  X 2X  0  X  X  0 2X  0  X 2X  0  X  X  X 2X  0  X 2X 2X  X  0 2X  0  X
 0  0  X  0  0  X 2X  0 2X  0  X  X 2X 2X  0  X  0  X  X  X  X  0  0 2X 2X  X 2X  0 2X  X 2X  X 2X  0  X  0  X  X  0  0  X 2X 2X  X 2X  0  X 2X  X 2X
 0  0  0  X  0 2X 2X  X  0  X  X  0  0  X 2X  X  X 2X 2X  0  0 2X 2X 2X 2X 2X  0  0  X  X  X  X  0  0  X  X  0 2X  0  X  X  X 2X  0  X  X  0 2X  X 2X
 0  0  0  0  X 2X 2X 2X 2X 2X  0 2X  0  0 2X 2X  0  X  0  0 2X 2X  X 2X  X 2X 2X  0  0  0  X 2X  0 2X  X  0  X  0  X 2X  0 2X 2X  X 2X  X 2X  X  0  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+78x^93+122x^96+232x^99+174x^102+74x^105+14x^108+16x^111+12x^117+2x^120+2x^123+2x^135

The gray image is a linear code over GF(3) with n=150, k=6 and d=93.
This code was found by Heurico 1.16 in 0.0337 seconds.