The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1  0  1  1  X  0  X  1  1  1  1 X^2  1  0  1  1  1  X  1  1 X^2+X  0  1  1  1  X  1  1  1  X  1 X^2  X  X  1  1
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X  1 X^2+1  1  0  1 X^2  1  1  1  1 X+1 X+1 X^2+X  X  1  1  1 X+1 X^2 X^2+X+1  1 X^2+X+1  0  1  1 X^2+1  X X^2+X X^2  1 X^2 X+1  1 X^2  1  1  1 X^2+X X^2
 0  0  X  0 X^2+X  0 X^2+X X^2  X  X X^2+X  0  X  0 X^2  X  0 X^2+X X^2+X  0  X  0 X^2  X X^2+X  X X^2  0  X  X X^2+X X^2+X X^2 X^2 X^2  0  X X^2  X  X  0  X  X  X  X  X  0 X^2 X^2+X
 0  0  0 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2
 0  0  0  0 X^2  0  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2
 0  0  0  0  0 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0  0 X^2
 0  0  0  0  0  0 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 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+47x^42+128x^43+202x^44+294x^45+373x^46+382x^47+424x^48+450x^49+423x^50+436x^51+350x^52+238x^53+152x^54+64x^55+38x^56+38x^57+15x^58+12x^59+8x^60+4x^61+11x^62+2x^63+1x^64+3x^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 0.674 seconds.