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

generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+78x^93+122x^96+232x^99+1458x^100+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=450, k=7 and d=279.
This code was found by Heurico 1.16 in 0.0652 seconds.