The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  0  X  1  0  X  1  0  X  1  1  X  1  1  1  0  X  1  1  0  1  1  X  X  1  1  1  1  1  1  0  1  0  X  X
 0  1  0  0  0  0  0  0  0  1  1  1  0  X  1  X  0  1  1 X+1  X  1  1  1  0  1  0 X+1  1  X  1  1  X  1  1  0 X+1 X+1 X+1  X  1  0  1  1  X
 0  0  1  0  0  0  1  1  1  1  X  1  1  0  X  1  1  X  0  1  0 X+1 X+1  0  1 X+1  1  X  0  1  X  1  0  X X+1  1  0 X+1  1 X+1  X  0  X  0  X
 0  0  0  1  0  1  1  0  1  0 X+1 X+1  X  0 X+1  1 X+1  X  1  0 X+1  0  1  X  0  X  X  1  0  X  0  1  1  0 X+1  0  0  X  1  1  1  0  1  0  0
 0  0  0  0  1  1  0  1  1  X  0  X X+1  1 X+1  0  1  1  X X+1  0  X  0 X+1  X X+1  1  1  X  0  0  0 X+1  X  1 X+1 X+1 X+1 X+1  1 X+1  1  1  0  X
 0  0  0  0  0  X  0  0  0  X  0  X  X  X  X  X  X  0  X  X  X  0  0  X  X  0  X  X  X  X  X  X  X  0  X  X  0  X  X  0  0  X  X  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  X
 0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  0  X  X  0  X  X  0  X  0  0  X  0  0  0  0  X  0  0  0  0  0  X  0  X  X  X  X  X  X  X
 0  0  0  0  0  0  0  0  X  X  X  0  X  X  X  X  X  0  X  X  0  X  0  X  0  X  X  0  0  X  X  0  X  X  0  0  0  X  X  X  X  0  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+179x^34+609x^36+1111x^38+1588x^40+2115x^42+2464x^44+2629x^46+2339x^48+1637x^50+997x^52+445x^54+182x^56+69x^58+10x^60+7x^62+2x^64

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 40.6 seconds.