The generator matrix

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

generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+63x^34+200x^35+302x^36+434x^37+577x^38+654x^39+783x^40+982x^41+1033x^42+1122x^43+1327x^44+1324x^45+1284x^46+1272x^47+1147x^48+976x^49+779x^50+664x^51+566x^52+334x^53+219x^54+170x^55+92x^56+42x^57+13x^58+14x^59+5x^60+4x^61+1x^72

The gray image is a linear code over GF(2) with n=90, k=14 and d=34.
This code was found by Heurico 1.16 in 40.7 seconds.