The generator matrix

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

generates a code of length 53 over Z2[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+74x^48+244x^49+191x^50+346x^51+189x^52+256x^53+103x^54+204x^55+83x^56+116x^57+68x^58+66x^59+32x^60+40x^61+19x^62+8x^63+4x^64+3x^66+1x^68

The gray image is a linear code over GF(2) with n=212, k=11 and d=96.
This code was found by Heurico 1.16 in 0.185 seconds.