The generator matrix

 1  0  1  1  1  0  1 X^2+X  1  1 X^2+X  1  1 X^2  1  1  1 X^2  X  1  X  1  X  1  1  1  X  1  1  0  1  1  X  0  1  1  1  1 X^2  0 X^2  1 X^2  1  X X^2+X  1  1  1  1  0 X^2+X  1
 0  1  1  0 X^2+X+1  1  X  1 X^2+X+1  X  1  1 X^2  1 X+1  0 X^2+X+1  1  1 X^2+X  1 X^2+1  1  X X^2+X+1  1  1  1 X^2+X+1  1 X^2+X+1 X^2  1  1 X^2+1  0 X+1 X^2+X  1 X^2  1  0 X^2  1  1  1 X^2+1 X^2+X  0 X^2+X  0  1  X
 0  0  X  0 X^2+X  X  0  X  0  X X^2  0  X  0 X^2 X^2+X  X  X X^2+X X^2  0 X^2+X  0  X X^2 X^2 X^2+X  X X^2 X^2  0 X^2  X  X  0 X^2 X^2  0 X^2  X  X X^2+X  X  0 X^2  0 X^2+X X^2+X X^2+X X^2+X X^2  0 X^2
 0  0  0  X  0  X  X  X X^2+X  0 X^2 X^2+X X^2  X X^2  X X^2+X X^2 X^2  0 X^2+X X^2+X X^2 X^2+X X^2+X X^2  0  X X^2+X X^2+X  0  X X^2  X  X X^2  0 X^2  0 X^2+X  0  X  X  0 X^2  0  0  0  0  X  X  X X^2+X
 0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 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+192x^48+104x^49+336x^50+92x^51+351x^52+132x^53+202x^54+88x^55+223x^56+80x^57+138x^58+12x^59+51x^60+4x^61+22x^62+10x^64+6x^66+2x^68+2x^72

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 0.592 seconds.