The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2  X  1 X^2  1  1  1  X  X  1  1  1  1  0  1 X^2  1  X  X  1  X  0  1  X  1  1
 0  X  0  0  0  X X^2+X  X X^2 X^2  X  0  0  X  X X^2+X  0  0 X^2+X  X X^2  X X^2+X  X X^2  0  X  X X^2 X^2+X X^2  0 X^2 X^2+X X^2  X  X  0  X  0  0 X^2 X^2 X^2+X  X X^2  X X^2+X  0
 0  0  X  0  X  X  X  0 X^2  0 X^2+X  X X^2+X  0 X^2+X  0 X^2 X^2+X X^2 X^2+X  0 X^2  X X^2 X^2+X  0 X^2+X  X  X X^2+X  0 X^2+X X^2+X  X  0 X^2 X^2 X^2  0 X^2 X^2+X X^2  X  0 X^2  X X^2+X X^2+X  X
 0  0  0  X  X  0  X X^2+X  0  X X^2  X X^2 X^2+X  X  0 X^2  X  X  0 X^2+X X^2 X^2+X X^2+X X^2+X  0  0 X^2+X X^2  0  X  0 X^2 X^2  X X^2  0  X  X  X  0  X X^2 X^2+X  X  X  X  X X^2+X
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 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  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 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  0  0 X^2 X^2  0 X^2  0  0  0 X^2  0  0  0 X^2 X^2  0  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+40x^42+72x^43+111x^44+136x^45+166x^46+200x^47+223x^48+256x^49+212x^50+184x^51+118x^52+92x^53+74x^54+44x^55+46x^56+24x^57+19x^58+8x^59+11x^60+4x^61+4x^63+2x^64+1x^74

The gray image is a linear code over GF(2) with n=196, k=11 and d=84.
This code was found by Heurico 1.16 in 0.262 seconds.