The generator matrix

 1  0  0  1  1  1  0  1  1 X^2  0  X  1  1  1 X^2+X  1  X X^2  0  1  1  1 X^2+X  1  1  1  1  1  1 X^2+X  0  1  1  1  1  1 X^2+X X^2  0 X^2+X  1  X  1  1  0  1  0  0
 0  1  0  0  1  1  1 X^2  0  X  1  1 X^2+X+1 X^2+X X+1  1  1 X^2+X  X  1 X^2+X+1 X^2+X X^2+1  1 X+1  X X^2+X+1  X  X  X X^2  1 X^2 X+1 X^2 X^2+1 X^2+X  1 X^2+X  1  1 X^2+X+1  1  1 X+1  1  X  1  0
 0  0  1 X+1 X^2+X+1  0 X+1  X X^2+1  1 X^2+X  1  X X+1 X+1 X+1  1  1  1 X^2+1 X+1 X^2  0  0 X^2  X X^2+X X^2+1 X^2 X+1  1 X+1 X^2+X+1  1 X^2  X  X X^2+X  1  X X^2 X^2+1  X X^2+X X^2 X^2  X X^2+1  X
 0  0  0 X^2  0  0  0  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2
 0  0  0  0 X^2  0  0  0  0  0  0  0  0  0 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0  0  0 X^2 X^2
 0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2
 0  0  0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  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+183x^42+112x^43+616x^44+332x^45+1076x^46+400x^47+1263x^48+380x^49+1320x^50+400x^51+856x^52+292x^53+552x^54+112x^55+182x^56+20x^57+55x^58+24x^60+12x^62+2x^64+2x^66

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 2.41 seconds.