The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+343x^44+244x^46+219x^48+64x^50+89x^52+60x^54+3x^56+1x^64

The gray image is a linear code over GF(2) with n=188, k=10 and d=88.
This code was found by Heurico 1.16 in 1.1 seconds.