The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+136x^38+592x^39+1126x^40+1858x^41+2841x^42+3790x^43+5463x^44+5994x^45+7124x^46+7032x^47+7679x^48+6382x^49+5459x^50+3928x^51+2782x^52+1580x^53+915x^54+442x^55+222x^56+116x^57+36x^58+22x^59+7x^60+6x^61+1x^62+2x^63

The gray image is a linear code over GF(2) with n=188, k=16 and d=76.
This code was found by Heurico 1.13 in 34.3 seconds.