The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X 1 1 X 1 X 1 X 1 1 1 1 X X 1 1 1 1 1
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 X X X X 0 X X X X X 0 X X X X X 0 X X X X X 0 X 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 0 0 X X 0 0 X 0 0 0 X 0 0 X X X 0 X 0 X X 0 0
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X 0 X 0 X X X X X 0 X X X 0 X 0 0 0 X X 0 0 X X 0 X 0 X 0
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 0 0 0 X 0 X 0 X 0 X X 0 0 X X X 0 X 0 X 0 0
0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X X 0 0 X X X X 0 X X X X 0 0 0 0 0 0 X X X X X X 0
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X 0 X 0 0 X 0 X X X 0 X 0 0 X 0 X X X 0 0 0
0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X X X X 0 X X X X X X X X 0 X 0 X X X 0 X 0 0 X 0 0
0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 X 0 0 0 X 0 0 X 0 X X 0 0 0 X X X X X X 0 0 X X 0
generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+60x^36+40x^38+20x^39+73x^40+60x^41+56x^42+100x^43+41x^44+140x^45+44x^46+124x^47+39x^48+52x^49+62x^50+12x^51+30x^52+4x^53+32x^54+7x^56+17x^58+5x^60+4x^62+1x^74
The gray image is a linear code over GF(2) with n=90, k=10 and d=36.
This code was found by Heurico 1.16 in 0.153 seconds.