The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+206x^39+629x^40+980x^41+1522x^42+2026x^43+2654x^44+2944x^45+3645x^46+3506x^47+3590x^48+3160x^49+2830x^50+1922x^51+1448x^52+818x^53+457x^54+256x^55+90x^56+48x^57+26x^58+4x^59+4x^60+2x^61

The gray image is a linear code over GF(2) with n=188, k=15 and d=78.
This code was found by Heurico 1.13 in 9.06 seconds.