The generator matrix

 1  0  0  0  0  0  1  1  1  X  0  0  0  0  1  1  1  X  X  0  1  1  1  1  1  1  1  X  0  1  1  X  1  1  X  X  X  0  X  1  X  1  1  0  1
 0  1  0  0  0  0  0  0  0  0  1  X  1  1  0  1  X  X  1  1  X  1  0  1  1 X+1  1  0  1  1  1  1  0  0  X  0  X  X  X  X  1  0 X+1  1  X
 0  0  1  0  0  0  0  0  0  0  X  1  1 X+1 X+1 X+1  1  1  0  X  0  0 X+1  X  1  X X+1  X  1 X+1  0 X+1 X+1  X  1  1  1  0  1  0  X X+1  0  1  X
 0  0  0  1  0  0  0  1  1  1 X+1 X+1  1  X  0 X+1  1  1  0  1 X+1  X  1  0  X  1  0  X  0  1  X  1  X  X  0  1  1  X X+1  X  1 X+1  X  X X+1
 0  0  0  0  1  0  1  1  X X+1  1  1  1  0 X+1  0  X  X X+1  X X+1 X+1  1  X  X  1  1  1  0  1 X+1 X+1  X X+1  1  X X+1  1 X+1  X X+1  X  1 X+1  1
 0  0  0  0  0  1  1  X X+1  1  0  X  1 X+1  0 X+1  0  1 X+1 X+1  X  0 X+1  1  X X+1 X+1  0 X+1  X  0  1 X+1  1  1  1  0 X+1 X+1  1 X+1  1  1  0 X+1
 0  0  0  0  0  0  X  0  X  0  0  0  0  0  X  X  X  0  0  0  X  X  X  X  0  0  0  X  X  0  0  X  0  0  0  X  X  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 35.

Homogenous weight enumerator: w(x)=1x^0+70x^35+138x^36+230x^37+347x^38+382x^39+405x^40+528x^41+542x^42+502x^43+617x^44+594x^45+624x^46+658x^47+553x^48+486x^49+414x^50+360x^51+292x^52+192x^53+117x^54+72x^55+41x^56+18x^57+4x^58+4x^59+1x^76

The gray image is a linear code over GF(2) with n=90, k=13 and d=35.
This code was found by Heurico 1.16 in 5.73 seconds.