The generator matrix

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

generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+58x^41+139x^42+240x^43+373x^44+572x^45+714x^46+712x^47+895x^48+910x^49+806x^50+864x^51+648x^52+446x^53+346x^54+168x^55+106x^56+88x^57+35x^58+32x^59+23x^60+6x^61+8x^62+2x^64

The gray image is a linear code over GF(2) with n=196, k=13 and d=82.
This code was found by Heurico 1.16 in 2.91 seconds.