The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  1  1  X  X X^2+X  1 X^2+X  1  0  1 X^2 X^2+X  1 X^2+X X^2  1  1  1 X^2 X^2  1  1  1  0 X^2  1  X  X X^2+X  0  1  0  0  1  1  1  1 X^2+X  1
 0  1  0  0  1  X  1  1 X^2 X^2+1  0 X+1  1 X^2+X  1  X  1  X  1  0 X^2  1  X  0  X  1 X^2+X+1  1 X^2+X  1  X X^2+X  1  1  1  0  1 X^2+X  1  1 X^2+X  X  X X^2+X X^2+X  X  X  1  0
 0  0  1  0  X  1 X+1  1 X^2+1 X^2 X^2+X X+1  X  1  1 X^2+X  0 X+1 X^2 X^2+X  1 X^2+X+1 X^2  1 X^2+X X^2+X  1 X^2  1 X^2+X+1 X+1 X^2+1  1 X^2+X  0  X  X  1 X^2+X X+1 X+1  1 X^2 X^2 X+1 X^2+1  X X^2  0
 0  0  0  1  X X^2+X X^2  1  1 X+1 X+1 X^2+1 X+1 X^2+X+1 X^2+X X+1 X^2+1 X+1  X  X  1 X^2+X+1  0 X^2  1  0 X^2+X  1  0 X^2  1  X X^2+X+1  X  1 X^2  1 X+1 X+1 X^2 X^2 X+1  1  1  X  1 X^2+1 X^2+X  0
 0  0  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 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+66x^42+286x^43+425x^44+712x^45+632x^46+890x^47+740x^48+922x^49+640x^50+878x^51+611x^52+574x^53+298x^54+266x^55+131x^56+62x^57+26x^58+12x^59+12x^60+2x^61+2x^62+4x^63

The gray image is a linear code over GF(2) with n=196, k=13 and d=84.
This code was found by Heurico 1.11 in 0.719 seconds.