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

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+113x^44+120x^46+226x^48+8x^50+43x^52+1x^88

The gray image is a linear code over GF(2) with n=188, k=9 and d=88.
This code was found by Heurico 1.16 in 0.167 seconds.