The generator matrix

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

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+87x^40+276x^41+432x^42+542x^43+689x^44+762x^45+878x^46+1018x^47+859x^48+724x^49+642x^50+506x^51+366x^52+188x^53+82x^54+38x^55+45x^56+32x^57+14x^58+8x^59+1x^60+2x^61

The gray image is a linear code over GF(2) with n=188, k=13 and d=80.
This code was found by Heurico 1.16 in 2.25 seconds.