The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2 X^2  X  1  1  0  1 X^2  1  1 X^2  1  1  1  1  1  X  X  1  0  1  1  X  0  1  X  1
 0  X  0  0  0  0  0 X^2 X^2  X X^2+X  X  X  X X^2+X  X  0 X^2+X X^2  X  X  X  X X^2+X X^2 X^2 X^2  0  X X^2 X^2  0 X^2+X X^2+X  X X^2  X  0 X^2 X^2 X^2+X  X X^2  0  X  0  0
 0  0  X  0  0 X^2 X^2+X  X  X  X  X  X X^2+X  0  0  0 X^2 X^2 X^2+X  X  0  X  X X^2  0  X X^2  X X^2+X X^2+X  0 X^2+X X^2 X^2 X^2 X^2  X X^2+X X^2  0  0  X  0  0  0  0  0
 0  0  0  X  0 X^2+X X^2+X  X X^2 X^2+X X^2+X  0  0  X  X X^2  X X^2 X^2+X  0 X^2  X X^2 X^2  X  0 X^2 X^2+X  0  0  X  X X^2+X X^2+X X^2+X  X X^2  X X^2 X^2  X X^2+X  X  X X^2+X X^2+X  0
 0  0  0  0  X  X X^2 X^2+X  X X^2+X X^2 X^2  X X^2 X^2+X  X  X X^2 X^2 X^2+X X^2+X  X X^2  X X^2  0  X X^2 X^2 X^2+X  X  X X^2  X  X X^2+X  0 X^2+X X^2+X  X  0  X  0  X  X  0  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+45x^40+78x^41+97x^42+148x^43+141x^44+206x^45+265x^46+222x^47+218x^48+186x^49+111x^50+74x^51+79x^52+58x^53+30x^54+34x^55+24x^56+16x^57+8x^58+2x^59+4x^60+1x^70

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 0.227 seconds.