The generator matrix

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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+75x^36+246x^37+568x^38+1020x^39+1266x^40+2056x^41+2438x^42+3356x^43+3361x^44+3990x^45+3285x^46+3486x^47+2490x^48+2078x^49+1279x^50+914x^51+462x^52+196x^53+101x^54+54x^55+23x^56+10x^57+7x^58+2x^59+2x^60+2x^62

The gray image is a linear code over GF(2) with n=180, k=15 and d=72.
This code was found by Heurico 1.16 in 24.3 seconds.