The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  0  X  X  0  1  1  1  1  1  0  1  1  1  X  1  1  1  1  X X^2  1  X X^2 X^2+X  1  1  1  1  1  0  1  1 X^2+X  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1 X^2+X  1 X^2+X  1 X^2+1 X^2+X X^2+X+1  0  1  1  1  X X^2+X  1 X+1 X^2+X X^2+X+1  X  1 X^2+X X+1 X^2  1  1  1  0 X+1  0 X^2+X+1  1  X X+1 X^2+X  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1 X^2+1  1  0  1 X+1 X^2+X+1 X+1 X^2+X+1 X+1 X^2+X  X  0 X^2 X^2+X X^2+X  1  0 X^2 X^2+1 X^2  1  X  1 X^2+1 X^2+X+1 X^2+1 X^2  X X+1  X  0  0 X^2  1  1
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2  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 45.

Homogenous weight enumerator: w(x)=1x^0+68x^45+172x^46+168x^47+128x^48+124x^49+98x^50+68x^51+23x^52+36x^53+60x^54+32x^55+23x^56+12x^57+6x^58+4x^59+1x^60

The gray image is a linear code over GF(2) with n=196, k=10 and d=90.
This code was found by Heurico 1.11 in 0.047 seconds.