The generator matrix

 1  0  0  0  1  1  1  0  0 X^2  1  1  1  1 X^2+X X^2  1  X  X  1 X^2+X  1  1  1 X^2  1  1  1  0 X^2  X  X  1  1 X^2  1  1  X X^2+X  0  X  1  1  0  0 X^2  1  1 X^2+X  1  1
 0  1  0  0  0 X^2 X^2 X^2  1  1 X+1  1  1 X^2+1  1  1  X  0 X^2+X X+1  1  1  0 X+1  1 X^2+1  0 X^2+X+1  1  X  1 X^2+X X^2+X X^2+X+1  1  X  1  1  X X^2+X  1 X+1  1  1 X^2  0  X X^2+X+1  1 X^2 X^2+X
 0  0  1  0 X^2  1 X^2+1  1 X+1  0  1 X^2+X X^2 X+1 X+1  X  0  1  1 X^2+1 X^2+1 X^2+1 X^2+1 X^2  1  X X+1  1  X  1 X^2+X  1 X^2+X X^2+X+1 X^2+1  1 X^2+X+1  1 X^2+X  1 X^2 X^2+X+1  1 X^2+X+1  1  1 X^2  X  0 X+1 X^2+1
 0  0  0  1 X^2+X+1 X^2+X+1  0 X+1 X^2  1  1  1 X^2  0 X^2+X+1 X^2 X^2 X^2+X+1  0  X X+1 X^2+1  1 X^2+1  X  X  X  0 X^2+1 X^2+X+1 X^2+1  X X^2+X+1 X+1 X^2+X+1 X^2+1 X^2+X  1  1 X^2+X  X  X X+1 X^2+X+1  1  0 X+1 X^2  0 X^2 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+454x^46+900x^48+918x^50+700x^52+506x^54+388x^56+162x^58+52x^60+8x^62+7x^64

The gray image is a linear code over GF(2) with n=204, k=12 and d=92.
This code was found by Heurico 1.16 in 64.6 seconds.