The generator matrix

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

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+36x^42+116x^43+242x^44+304x^45+363x^46+362x^47+368x^48+516x^49+463x^50+382x^51+342x^52+240x^53+170x^54+86x^55+24x^56+20x^57+8x^58+14x^59+12x^60+8x^61+15x^62+3x^64+1x^66

The gray image is a linear code over GF(2) with n=196, k=12 and d=84.
This code was found by Heurico 1.16 in 0.614 seconds.