The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 X 0 0 0 X X X 0 0 0 X 0 X X X 0 0 X X 0 X X X X X X 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 X X
0 0 X 0 X X X 0 0 0 X X X X 0 0 0 X X 0 X X 0 0 0 X X X X 0 0 0 X X X X 0 0 0 0 X X X X 0
0 0 0 X X 0 X X 0 X X 0 0 X X 0 X X 0 0 0 X X 0 X X 0 0 X X 0 X X 0 0 X X 0 0 X X 0 0 X X
generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 45.
Homogenous weight enumerator: w(x)=1x^0+16x^45+7x^46+7x^48+1x^62
The gray image is a linear code over GF(2) with n=90, k=5 and d=45.
This code was found by Heurico 1.16 in 0.0103 seconds.