The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+54x^49+121x^50+136x^51+168x^52+216x^53+224x^54+236x^55+278x^56+274x^57+298x^58+282x^59+270x^60+256x^61+183x^62+224x^63+183x^64+130x^65+161x^66+124x^67+88x^68+88x^69+31x^70+20x^71+34x^72+6x^73+4x^74+2x^75+2x^76+1x^78+1x^86

The gray image is a linear code over GF(2) with n=118, k=12 and d=49.
This code was found by Heurico 1.16 in 2.18 seconds.