The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+78x^45+163x^46+294x^47+400x^48+504x^49+638x^50+728x^51+805x^52+864x^53+961x^54+994x^55+1064x^56+1126x^57+1148x^58+1144x^59+1089x^60+982x^61+835x^62+690x^63+585x^64+444x^65+297x^66+208x^67+129x^68+92x^69+47x^70+38x^71+22x^72+6x^73+4x^74+1x^76+1x^78+1x^82+1x^94

The gray image is a linear code over GF(2) with n=114, k=14 and d=45.
This code was found by Heurico 1.16 in 60.9 seconds.