The generator matrix

 1  0  1  1  1 X^3+X^2+X  1  1  X  1  1 X^3+X^2  1  1 X^3  1  1 X^2+X  1  1 X^2  1  1 X^3+X  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0 X^2+X X^3+X^2 X^3  1
 0  1 X+1 X^3+X^2+X X^2+1  1  X X^2+X+1  1 X^3+X^2 X^3+1  1 X^3 X+1  1 X^2+X X^3+X^2+1  1 X^3+X X^3+X^2+X+1  1 X^2  1  1 X^2 X^3 X^3+X^2+X X^3  X X^3+X^2 X^3+X X^3+X^2 X^2+X X+1 X^3+X+1 X^2+1 X^2+1 X^3+X^2+X+1 X^3+X^2+X+1 X^3+1 X^3+1  1  1  1  1  1  0
 0  0 X^2 X^3+X^2 X^3 X^2 X^2 X^3+X^2 X^3+X^2 X^3  0 X^3 X^2  0 X^2  0 X^2  0 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^2  0  0 X^2 X^3 X^3+X^2  0 X^3+X^2 X^2  0 X^2 X^3 X^3 X^3+X^2 X^3  0  0 X^3

generates a code of length 47 over Z2[X]/(X^4) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+33x^44+260x^45+169x^46+134x^47+140x^48+232x^49+29x^50+14x^51+9x^52+1x^58+1x^60+1x^66

The gray image is a linear code over GF(2) with n=376, k=10 and d=176.
This code was found by Heurico 1.16 in 0.469 seconds.