The generator matrix

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

generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+92x^42+300x^43+464x^44+548x^45+639x^46+838x^47+844x^48+868x^49+920x^50+708x^51+632x^52+506x^53+358x^54+246x^55+96x^56+56x^57+36x^58+12x^59+8x^60+6x^61+3x^62+8x^63+3x^64

The gray image is a linear code over GF(2) with n=196, k=13 and d=84.
This code was found by Heurico 1.16 in 2.46 seconds.