The generator matrix

 1  0  0  0  0  0  1  1  1  X  0  0  0  0  1  1  1  X  X  0  1  1  1  1  0  1  X  1  1  1  0  X  0  0  1  0  1  1  1  X  0  1  X  X  1  1  X  0  1
 0  1  0  0  0  0  0  0  0  0  1  X  1  1  0  1  X  X  1  1  X  1  0  1  X  1  1  1  1 X+1  1  X  X  1  1  0  1 X+1  0  0  X  1  1  1  0 X+1  1  0  1
 0  0  1  0  0  0  0  0  0  0  X  1  1 X+1 X+1 X+1  1  1  0  X  0  0 X+1 X+1  1  0  X  X X+1  X  1  0  X X+1  X  X  1  0  X  1  1 X+1 X+1  X X+1 X+1  1  1  0
 0  0  0  1  0  0  0  1  1  1 X+1 X+1  1  X  0 X+1  1  1  0  1 X+1  X  1  X  X  1  1  0  0  X  X  1  0 X+1  1  1  1  X  1  1 X+1  X X+1  0 X+1  1  0  0  0
 0  0  0  0  1  0  1  1  X X+1  1  1  1  0 X+1  0  X  X X+1  X X+1 X+1  1  X  1  X  0  0 X+1  0  X X+1  0 X+1  1  0  0  0  0  1  0  0  X  X X+1 X+1  0  0  1
 0  0  0  0  0  1  1  X X+1  1  0  X  1 X+1  0 X+1  0  1 X+1 X+1  X  0 X+1  X X+1  0 X+1  1  1 X+1  1  1  1  1 X+1  0  0  X  X  1  0  1  0 X+1 X+1  0  0  X X+1
 0  0  0  0  0  0  X  0  X  0  0  0  0  0  X  X  X  0  0  0  X  X  X  X  X  0  X  0  0  X  X  X  X  X  0  X  0  0  0  X  0  0  0  X  0  0  0  X  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+104x^39+175x^40+228x^41+336x^42+404x^43+456x^44+482x^45+533x^46+546x^47+519x^48+552x^49+613x^50+600x^51+547x^52+478x^53+431x^54+376x^55+294x^56+210x^57+127x^58+76x^59+49x^60+32x^61+8x^62+6x^63+6x^64+2x^65+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 1.16 in 31.4 seconds.