The generator matrix

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

generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+87x^46+176x^47+293x^48+238x^49+284x^50+162x^51+192x^52+158x^53+130x^54+98x^55+82x^56+30x^57+57x^58+26x^59+16x^60+6x^61+9x^62+2x^63+1x^66

The gray image is a linear code over GF(2) with n=204, k=11 and d=92.
This code was found by Heurico 1.11 in 0.094 seconds.