The generator matrix
1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 0 1 X 1 1 1 0 1 X 1 X 0 1 1 1 X X 1 X 0 1 0 1 1 X 1 1
0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 0 1 X 0 X 0 X 1 X+1 0 0 1 1 X 1 X X X X+1 1 1 0 1 X 1 1 X+1 1
0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 0 X X+1 1 X X+1 0 1 X 0 0 0 X X+1 0 1 0 1 X X+1 X X 1 1 0 X 0 X+1
0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X 0 X+1 X X+1 X+1 X 1 0 1 1 X 1 X X+1 1 1 X+1 X+1 1 X 1 0 1 0 X 1 X+1
0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X X X X+1 X 1 X+1 X 1 0 1 0 0 1 X+1 X+1 X+1 0 X+1 0 X+1 1 X+1 1 1 1 1
0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 X 0 0 0 X X X X X X 0 0 0 0 0 0 0 X X 0 0 X 0 X X 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X X 0 0 X X 0 X X X X X 0 0 0 0 0 X 0 X 0 0 0 0 0
0 0 0 0 0 0 0 X 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 0 X X X X 0 X X 0 X 0 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+90x^35+140x^36+252x^37+330x^38+342x^39+436x^40+438x^41+514x^42+568x^43+620x^44+632x^45+644x^46+636x^47+525x^48+524x^49+468x^50+330x^51+274x^52+188x^53+82x^54+78x^55+46x^56+14x^57+10x^58+4x^59+5x^60+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 7.1 seconds.