The generator matrix

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

generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+60x^47+171x^48+174x^49+170x^50+92x^51+90x^52+30x^53+82x^54+54x^55+32x^56+16x^57+19x^58+10x^59+10x^60+4x^61+8x^63+1x^66

The gray image is a linear code over GF(2) with n=204, k=10 and d=94.
This code was found by Heurico 1.11 in 0.047 seconds.