The generator matrix

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

generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+94x^45+305x^46+236x^47+496x^48+350x^49+561x^50+272x^51+513x^52+302x^53+333x^54+128x^55+215x^56+98x^57+103x^58+32x^59+23x^60+20x^61+10x^62+4x^63

The gray image is a linear code over GF(2) with n=204, k=12 and d=90.
This code was found by Heurico 1.16 in 0.573 seconds.