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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+217x^40+16x^41+258x^42+128x^43+387x^44+496x^45+168x^46+768x^47+315x^48+496x^49+180x^50+128x^51+280x^52+16x^53+152x^54+75x^56+10x^58+4x^60+1x^76

The gray image is a linear code over GF(2) with n=188, k=12 and d=80.
This code was found by Heurico 1.16 in 7.79 seconds.