The generator matrix

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

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+97x^48+138x^49+297x^50+294x^51+277x^52+194x^53+161x^54+112x^55+148x^56+84x^57+80x^58+26x^59+65x^60+30x^61+21x^62+16x^63+4x^64+2x^65+1x^66

The gray image is a linear code over GF(2) with n=212, k=11 and d=96.
This code was found by Heurico 1.11 in 0.093 seconds.