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 X^2  1  X  1 X^2  1  1  1  X  X  1  1  1  0  1  1 X^2  1  X  X  X  X  1  1  1
 0  X  0  0  0  X X^2+X  X X^2 X^2  X  0  0  X  X X^2+X  0  0 X^2+X  X X^2  X  X X^2+X X^2  0  X  X X^2 X^2+X X^2  0 X^2+X X^2 X^2  X  X  0  X  0  0  0  X X^2+X  X  X  0
 0  0  X  0  X  X  X  0 X^2  0 X^2+X  X X^2+X  0 X^2+X  0 X^2 X^2+X X^2 X^2+X  0 X^2 X^2  X X^2+X  0 X^2+X  X  X X^2+X  0 X^2+X  X X^2+X  0 X^2 X^2 X^2  0 X^2 X^2+X  X X^2+X  0  X  0  0
 0  0  0  X  X  0  X X^2+X  0  X X^2  X X^2 X^2+X  X  0 X^2  X  X  0 X^2+X X^2 X^2+X X^2+X X^2+X  0  0 X^2+X X^2  0  X  0 X^2 X^2  X  0 X^2  X  X  X  0 X^2  0  X  0  0 X^2+X
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0
 0  0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 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+29x^40+82x^41+108x^42+96x^43+189x^44+248x^45+209x^46+242x^47+203x^48+174x^49+147x^50+94x^51+71x^52+54x^53+41x^54+14x^55+17x^56+16x^57+5x^58+2x^59+2x^61+2x^62+1x^64+1x^72

The gray image is a linear code over GF(2) with n=188, k=11 and d=80.
This code was found by Heurico 1.16 in 0.242 seconds.