The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+55x^36+86x^37+159x^38+294x^39+322x^40+526x^41+633x^42+908x^43+1200x^44+1440x^45+1730x^46+1630x^47+1749x^48+1484x^49+1198x^50+992x^51+631x^52+486x^53+299x^54+250x^55+116x^56+70x^57+69x^58+20x^59+18x^60+4x^61+4x^62+2x^63+4x^64+4x^66

The gray image is a linear code over GF(2) with n=188, k=14 and d=72.
This code was found by Heurico 1.16 in 12.8 seconds.