The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 0 0 0 0 1 X 1 1 1 1 1 X X X 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 X 1 1 0 0 0
0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X+1 1 1 X 1 X 0 X 1 X 1 X+1 X X+1 X+1 1 1 1 X 1 0 X+1 1 X+1 1 0 1 X X X 1 1 0
0 0 1 0 0 0 0 0 X X 1 1 1 X 1 X+1 X+1 X+1 X X+1 0 1 X+1 1 X 1 X+1 0 X X+1 X 1 X X+1 X X+1 0 X X 0 1 1 0 1 X+1 X 0 0 0
0 0 0 1 0 0 1 X 1 1 0 X+1 1 1 X 1 1 1 X X X+1 1 1 0 X+1 1 0 1 1 X+1 0 X 1 1 0 0 X 1 1 0 0 X X X+1 X+1 X X+1 X+1 0
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 X X+1 X+1 0 X+1 1 X X+1 0 1 0 0 X+1 1 0 0 X 1 X+1 X X+1 X+1 0 1 X X+1 X+1 X 0 0 X+1 X+1 X+1 1 0
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X X+1 1 0 0 0 0 X X+1 X X+1 1 1 1 X+1 0 1 0 1 X 0 X 0 X+1 0 1 X+1 X 1 1 1 X 0 X 1 1

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+157x^40+350x^42+527x^44+512x^46+517x^48+566x^50+516x^52+434x^54+274x^56+164x^58+53x^60+22x^62+2x^64+1x^72

The gray image is a linear code over GF(2) with n=98, k=12 and d=40.
This code was found by Heurico 1.10 in 0.579 seconds.