The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+42x^50+52x^51+121x^52+122x^53+133x^54+148x^55+133x^56+148x^57+113x^58+128x^59+125x^60+136x^61+97x^62+128x^63+83x^64+76x^65+78x^66+44x^67+37x^68+30x^69+41x^70+12x^71+7x^72+7x^74+5x^76+1x^78

The gray image is a linear code over GF(2) with n=118, k=11 and d=50.
This code was found by Heurico 1.16 in 0.548 seconds.