The generator matrix

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

generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+130x^34+642x^36+1150x^38+1494x^40+2066x^42+2649x^44+2578x^46+2369x^48+1634x^50+988x^52+446x^54+157x^56+58x^58+17x^60+2x^62+2x^64+1x^72

The gray image is a linear code over GF(2) with n=90, k=14 and d=34.
This code was found by Heurico 1.10 in 7 seconds.