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  1  X  X  1  1  1  1  1
 0 X^2  0  0  0  0  0  0  0  0 X^2 2X^2 2X^2 X^2 X^2 X^2  0 2X^2 2X^2 X^2 X^2 X^2 2X^2  0  0 2X^2 X^2 2X^2 X^2 X^2 X^2  0  0 X^2  0  0 2X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 2X^2 X^2 2X^2  0  0
 0  0 X^2  0  0  0  0 X^2 2X^2 2X^2 2X^2  0  0 2X^2 X^2 2X^2 X^2  0 X^2 X^2 X^2  0  0 2X^2 2X^2 2X^2 2X^2 2X^2  0 X^2 2X^2 2X^2  0 2X^2  0  0 2X^2 X^2 2X^2  0 2X^2  0 2X^2 X^2  0  0 2X^2 2X^2 X^2  0
 0  0  0 X^2  0  0 X^2 2X^2  0 2X^2  0  0 2X^2 X^2 X^2 2X^2  0 X^2 2X^2 2X^2 2X^2 X^2  0 2X^2 2X^2 X^2 2X^2  0 2X^2  0 2X^2 X^2 X^2 2X^2 2X^2  0  0 X^2 2X^2 X^2 X^2  0 X^2 2X^2 2X^2 2X^2  0 X^2 2X^2  0
 0  0  0  0 X^2  0 2X^2 2X^2 X^2  0 2X^2 2X^2 2X^2  0 2X^2 2X^2  0 2X^2 2X^2 X^2  0  0  0 2X^2 2X^2 X^2 2X^2 2X^2  0  0  0 2X^2 2X^2  0  0 2X^2 X^2  0 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0
 0  0  0  0  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 X^2  0 2X^2 2X^2  0 X^2 X^2 2X^2  0 2X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0  0  0 X^2  0 2X^2 2X^2  0 X^2  0 2X^2 2X^2 X^2  0

generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+46x^87+100x^90+108x^93+248x^96+738x^99+4374x^100+714x^102+42x^105+62x^108+30x^111+32x^114+42x^117+12x^120+10x^123+2x^144

The gray image is a linear code over GF(3) with n=450, k=8 and d=261.
This code was found by Heurico 1.16 in 0.301 seconds.