The generator matrix

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

generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+4x^50+40x^51+6x^52+8x^53+2x^54+1x^56+1x^58+1x^66

The gray image is a linear code over GF(2) with n=204, k=6 and d=100.
This code was found by Heurico 1.16 in 0.0295 seconds.