The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+110x^37+462x^38+1230x^39+2052x^40+3730x^41+5082x^42+8160x^43+9372x^44+13084x^45+13475x^46+16542x^47+14010x^48+13742x^49+9791x^50+8320x^51+4849x^52+3512x^53+1739x^54+914x^55+477x^56+248x^57+107x^58+32x^59+23x^60+6x^61+2x^63

The gray image is a linear code over GF(2) with n=188, k=17 and d=74.
This code was found by Heurico 1.13 in 131 seconds.