The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  0  1  X  1  1  1  0  1 X^2  1  1 X^2+X  1 X^2+X  1  0  1  1  1  1 X^2+X  1  1  1  1  1  1  1  1  X X^2  0  X X^2
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X  1 X^2+1  0  1 X^2+X+1  1 X^2  X X^2+1  1 X^2+1  1 X^2+X X+1  1 X^2  1 X^2+1  1 X^2+X+1 X^2+X X^2  X  1 X^2+1 X^2+1  X  1  X X+1 X^2+X  1 X^2  1  1  1  1
 0  0  X  0 X^2+X  0 X^2+X X^2  X  X X^2+X  0  0 X^2  X X^2+X X^2+X X^2+X X^2 X^2+X X^2+X  X X^2 X^2  0 X^2+X X^2+X  X  0 X^2+X  0  X X^2 X^2 X^2  0  X X^2+X X^2 X^2 X^2  0 X^2+X  X  X  X  X
 0  0  0 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0
 0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2  0  0  0 X^2 X^2
 0  0  0  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2
 0  0  0  0  0  0 X^2  0 X^2  0  0  0  0  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 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+62x^40+92x^41+169x^42+322x^43+381x^44+392x^45+434x^46+474x^47+427x^48+420x^49+356x^50+202x^51+134x^52+112x^53+50x^54+22x^55+12x^56+8x^57+11x^58+4x^59+5x^60+4x^62+2x^64

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 0.602 seconds.