The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  X X^2+X  1 X^2  X X^2+X  0  1  1  0 X^2+X X^2  1  1  X X^2  1  1  X  1  0  1 X^2  1  X X^2  1  1  1 X^2+X  1  0  X  1  0  1
 0  1  0  0  0  1  1  1 X^2+X+1 X^2+1  X  1 X^2+X  0  1  1  1  1  1 X+1  X  1  1 X^2+1 X^2+X  X  X  X X^2  1 X^2 X^2 X^2+1  1 X+1  0  X  1 X^2+X X^2+X  0 X^2  1  1 X^2+X  1  0
 0  0  1  0  1  1  0  1 X^2+1 X^2+X  X X^2+1  1  1  0 X^2 X^2+X+1 X^2+1 X^2+X+1 X^2  1  1  X  0 X^2+X  1  0  1 X^2+X+1  0 X+1  1  1 X^2+X+1 X^2  X X^2+X  1  0 X^2+1  1 X^2 X^2+X+1  X X^2  X  0
 0  0  0  1  1  0  1 X^2+1 X^2+X+1 X^2 X^2+X+1  0 X+1  X  1  0  0 X^2+X+1  1 X^2+1 X^2+1  X X+1 X^2+X  X  0  1 X^2+1 X^2+X  1 X^2+1 X^2+1  1 X+1 X+1  1  1 X+1  X X^2+X X^2 X^2+1 X^2+X X^2+1 X^2  X  0
 0  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0  0  0  0  0
 0  0  0  0  0 X^2  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2
 0  0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2  0 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+37x^38+220x^39+576x^40+976x^41+1626x^42+1894x^43+2455x^44+3152x^45+3439x^46+3782x^47+3610x^48+3336x^49+2590x^50+1994x^51+1410x^52+752x^53+473x^54+230x^55+132x^56+40x^57+24x^58+8x^59+7x^60+3x^62+1x^64

The gray image is a linear code over GF(2) with n=188, k=15 and d=76.
This code was found by Heurico 1.16 in 26 seconds.