The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 1 1 X 0 1 1 X X 0 0 1 1 0 1 1 X 0 X 1 1 1 0 1 1 1 1 1
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X+1 X X 1 0 1 1 X+1 1 X X X X 0 X+1 1 X+1 X 1 1 0 X+1 X+1 1 1 X 1 X+1 1 X
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 1 X+1 X+1 1 0 X 0 X 1 0 X X+1 0 1 X 1 X 1 1 1 1 1 1 1 0 1 0 0
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 X+1 1 X 1 1 X+1 0 X+1 X X+1 1 1 X+1 X X 0 0 0 X 0 0 X+1 1 1 X 0 1 X X
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 1 X X 0 X+1 0 0 0 X 1 1 X X+1 X X+1 1 1 0 0 1 X X+1 X 0 X+1 0 X 1 1 0
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X X+1 0 X+1 0 1 X X+1 1 0 0 X X 1 0 0 0 X+1 1 X 1 1 X 1 X X X+1 X+1 0 X+1 0
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X 0 X X 0 X 0 0 X X X X 0 0 X 0 X X 0 0 0 0 X 0 0 0 0 X X

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+66x^35+154x^36+244x^37+282x^38+386x^39+466x^40+464x^41+541x^42+582x^43+606x^44+584x^45+649x^46+616x^47+512x^48+490x^49+455x^50+398x^51+259x^52+178x^53+113x^54+62x^55+49x^56+22x^57+8x^58+2x^59+2x^61+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 1.10 in 1.88 seconds.