The generator matrix

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

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+105x^34+166x^35+301x^36+444x^37+529x^38+658x^39+782x^40+900x^41+1138x^42+1236x^43+1224x^44+1352x^45+1259x^46+1184x^47+1155x^48+1060x^49+801x^50+714x^51+521x^52+296x^53+235x^54+126x^55+101x^56+40x^57+28x^58+12x^59+10x^60+4x^61+1x^62+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 41.7 seconds.