The generator matrix
1 0 0 0 1 1 1 0 1 1 X 1 1 X 0 1 0 1 1 1 1 X 0 1 0 X X 0 1 0 0 1 0 1 X X 1 0 1 1 0 X X 1 1
0 1 0 0 0 1 1 1 X+1 X 1 0 1 1 1 X X 0 X X+1 1 0 1 X+1 X 0 X 1 X 0 0 X 0 X+1 1 0 1 1 X 0 1 0 1 X 0
0 0 1 0 1 1 0 1 1 1 0 X X 0 1 X 1 X+1 X+1 1 0 1 0 X 1 X 0 X+1 1 1 1 X 0 0 X 1 1 X+1 X+1 X+1 1 1 X X+1 X+1
0 0 0 1 1 0 1 X+1 X+1 0 X+1 1 X X+1 X X+1 X+1 X+1 X 1 1 X 0 X+1 0 1 1 X 0 X+1 1 1 1 X X X X X 1 X+1 1 X X+1 X+1 1
0 0 0 0 X 0 0 X X X 0 0 X X 0 0 0 0 X 0 X X 0 X X X X 0 0 X X X 0 X 0 0 0 X 0 0 0 0 0 X 0
0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X X 0 X X 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 X X 0 0
0 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 X 0 X X X X 0 0 X 0 X X 0 X 0 X 0 0 X 0 0 0 0 X X X X X
generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.
Homogenous weight enumerator: w(x)=1x^0+183x^38+306x^40+274x^42+319x^44+284x^46+239x^48+206x^50+128x^52+69x^54+30x^56+8x^58+1x^60
The gray image is a linear code over GF(2) with n=90, k=11 and d=38.
This code was found by Heurico 1.16 in 36.5 seconds.