The generator matrix

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

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+80x^42+306x^43+420x^44+682x^45+745x^46+816x^47+720x^48+872x^49+749x^50+732x^51+606x^52+606x^53+331x^54+234x^55+144x^56+76x^57+31x^58+22x^59+10x^60+4x^61+2x^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 1.89 seconds.