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

generates a code of length 47 over Z2[X]/(X^4) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+272x^45+205x^46+244x^47+61x^48+112x^49+49x^50+68x^51+2x^52+8x^53+1x^58+1x^70

The gray image is a linear code over GF(2) with n=376, k=10 and d=180.
This code was found by Heurico 1.16 in 44.5 seconds.