The generator matrix

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

generates a code of length 53 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+84x^42+322x^43+794x^44+1708x^45+2627x^46+3836x^47+5672x^48+7824x^49+9903x^50+11822x^51+13389x^52+14142x^53+14023x^54+12312x^55+10153x^56+7988x^57+5619x^58+3820x^59+2301x^60+1268x^61+738x^62+386x^63+194x^64+92x^65+30x^66+12x^67+8x^68+2x^69+2x^71

The gray image is a linear code over GF(2) with n=212, k=17 and d=84.
This code was found by Heurico 1.13 in 154 seconds.