The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+112x^49+232x^50+308x^51+437x^52+530x^53+558x^54+722x^55+833x^56+890x^57+909x^58+966x^59+1088x^60+1038x^61+1135x^62+1056x^63+997x^64+978x^65+842x^66+738x^67+565x^68+444x^69+348x^70+276x^71+152x^72+92x^73+65x^74+28x^75+22x^76+12x^77+7x^78+2x^79+1x^104

The gray image is a linear code over GF(2) with n=122, k=14 and d=49.
This code was found by Heurico 1.16 in 89.2 seconds.