The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  0  X  1  1  1  0  X  1  1  0  1  1  X  1  X  0  0  1  1  1  1  1  0  1  X  X  X  X  1  1  0  1
 0  1  0  0  0  1  1  1  0  X X+1 X+1  1  1  X X+1  X  1  X  1 X+1 X+1  X  0  1  1 X+1  1  1  1 X+1 X+1  0  0 X+1  0  X  0  0  0  X  1  1  X  0
 0  0  1  0  1  1  0  1  0  1  1  X  0 X+1  1  X X+1  0  0  0  1 X+1  1  0  X  0  1  1  1  1 X+1  1 X+1  0 X+1  1  1  1  X  1  X  1  0  1  0
 0  0  0  1  1  0  1  1  1  0 X+1  X  1  0  1  1  0  1  1  X X+1  0 X+1  X  0  1 X+1  X  1  X  0  1  1  1 X+1  X  0 X+1  1  0  1  0  1  X  0
 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  X  X  X  X  X  X  0  X  0  X  0  X  X  X  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0  0  X  X  X  X  0  0  X  0  X  0  0  0  X  0  X  0  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  0  X  X  0  0  X  0  X  X  0  X  X  X  0  X  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0  X  X  0  0  0  X  X  0  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  0  0  X  0  X  0  X  X  X  X  X  X  0  X  0  X  X  0  0  X  0  0  X  0  0  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+47x^34+62x^35+180x^36+234x^37+319x^38+342x^39+406x^40+486x^41+498x^42+580x^43+580x^44+636x^45+606x^46+628x^47+534x^48+500x^49+414x^50+382x^51+292x^52+186x^53+147x^54+54x^55+50x^56+6x^57+16x^58+4x^60+1x^64+1x^82

The gray image is a linear code over GF(2) with n=90, k=13 and d=34.
This code was found by Heurico 1.16 in 5.52 seconds.