The generator matrix

 1  0  0  0  0  1  1  1  0  1 X^2  1  1  1  1  0  0  X  1  1  1 X^2+X X^2+X  1  1 X^2 X^2  1  1 X^2+X  1 X^2 X^2  1  1  0  X  1 X^2+X  1  1  1 X^2+X  1  1
 0  1  0  0  0  0 X+1  X X^2 X+1  1 X^2 X^2+1 X+1 X^2+X+1  1  1  1 X^2+X X^2+1 X+1  1 X^2  0 X^2 X^2+X  X  0 X^2+X+1  1  X  1  1  X X^2+X  X  1 X^2+X  0 X+1 X^2+1  X  1  X  0
 0  0  1  0  0  0  1 X+1  1 X^2+1 X^2 X^2+1 X^2+X X^2+X+1 X^2+X  X X+1 X^2+1  1  0 X^2+X X^2+1  X  X  X  1  1 X+1 X^2+1  0 X^2 X^2+X+1 X^2+1 X+1 X^2+1  0  X  0 X^2+X X^2  X  X X+1 X^2  0
 0  0  0  1  0  1 X^2 X^2+1  1 X+1 X^2+1 X^2+X X^2 X^2+1 X^2+X+1 X^2+X X^2+1  0  0 X^2 X^2+1  X  1  X X^2+X+1 X^2+1 X^2  1  X X^2+X+1 X+1 X^2+X  1 X^2+1  0 X^2+X  1 X^2+X X^2+X  0  X X^2 X^2+X+1  1  0
 0  0  0  0  1  1 X^2+1  X X+1 X^2+1 X^2+X X^2+1  0 X^2 X^2+X+1 X^2+1 X^2+X+1  0 X^2+X  1  X  1 X^2+1 X^2+X+1  X X^2 X^2+1 X^2+1 X+1 X^2+1 X+1 X^2 X^2 X+1  0  1 X^2+X+1  X  1 X^2+X X^2+1 X+1  1  0  0
 0  0  0  0  0  X  0  X  X X^2+X  X X^2  0  X X^2+X  0 X^2+X X^2 X^2 X^2 X^2+X  0  0  X X^2 X^2 X^2+X  0 X^2+X  0  0 X^2+X  0 X^2 X^2+X X^2+X X^2+X X^2+X X^2  X X^2+X X^2  X  X  0

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+124x^35+600x^36+1074x^37+2065x^38+3576x^39+5478x^40+7254x^41+10407x^42+12244x^43+14955x^44+14578x^45+15520x^46+12606x^47+10720x^48+7790x^49+5322x^50+3074x^51+1927x^52+928x^53+427x^54+178x^55+137x^56+52x^57+19x^58+6x^59+6x^60+4x^61

The gray image is a linear code over GF(2) with n=180, k=17 and d=70.
This code was found by Heurico 1.13 in 123 seconds.