The generator matrix

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

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+88x^39+196x^40+238x^41+317x^42+426x^43+412x^44+472x^45+539x^46+560x^47+593x^48+576x^49+614x^50+504x^51+505x^52+508x^53+429x^54+388x^55+285x^56+226x^57+136x^58+78x^59+55x^60+28x^61+12x^62+4x^63+1x^66+1x^80

The gray image is a linear code over GF(2) with n=98, k=13 and d=39.
This code was found by Heurico 1.10 in 4.59 seconds.