The generator matrix

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

generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+71x^48+120x^50+128x^51+135x^52+40x^54+16x^56+1x^100

The gray image is a linear code over GF(2) with n=204, k=9 and d=96.
This code was found by Heurico 1.16 in 0.0661 seconds.