The generator matrix

 1  0  1  1  1 X^2  X  1  1  1 X^2+X  1  1  1 X^2  1  1 X^2  1  1 X^2+X  1  1 X^2+X  1  1  1  1  1  1  1  1  X  1  1  X  0  1  1  X X^2+X  1  1  1  1  X  0  1  1 X^2  0
 0  1  1 X^2+X X^2+X+1  1  1 X+1  X X^2+1  1 X^2+X X^2+X X+1  1 X^2 X+1  1 X^2  1  1 X^2  1  1  0 X^2+X X^2  X  0 X^2+X X^2  X  0 X^2 X+1  1  1 X^2+X+1 X^2+1  1  1 X^2+X+1 X^2  X X^2+X X^2  0  0  X  1  1
 0  0  X  0 X^2+X  X  X X^2  X X^2  0  0 X^2+X X^2 X^2+X  X  X  0  0 X^2+X  0 X^2+X X^2 X^2+X  0 X^2  X  X  0 X^2 X^2+X X^2+X X^2 X^2  0 X^2  0  X X^2+X  X  X X^2 X^2  0  0  X  X  X X^2+X  0  X
 0  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2
 0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 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+140x^47+66x^48+216x^49+81x^50+160x^51+50x^52+114x^53+27x^54+76x^55+24x^56+44x^57+3x^58+4x^59+1x^60+6x^61+1x^62+4x^63+4x^65+1x^68+1x^72

The gray image is a linear code over GF(2) with n=204, k=10 and d=94.
This code was found by Heurico 1.16 in 4.9 seconds.