The generator matrix

 1  0  1  1  1  0  1  1  X  1 X^2+X  1  1  1  0  1  1 X^2  X X^2+X X^2+X  1  1  1  1 X^2 X^2  1  1  1 X^2+X  1  1  X  0  1  1  1  1  1  1 X^2+X  X  1 X^2  1  1
 0  1  1  0 X+1  1  X X^2+X+1  1 X^2+X  1 X^2+1  0 X+1  1 X^2 X^2+X+1  1  1  1  1  X  1  0 X^2+X+1  1  1 X^2+1 X^2  1  1  X X^2+1 X^2  1 X+1 X^2+X+1 X^2+X X^2 X+1  0  1  1  0  1  0  0
 0  0  X X^2+X  0 X^2+X  X X^2+X  X  0 X^2  0 X^2  0  0  X X^2+X  X X^2+X  0 X^2 X^2+X X^2+X  0  X  X  X X^2 X^2+X  X  0 X^2+X  0  X X^2 X^2  0  X X^2+X X^2  0  X X^2+X X^2  X  0  0
 0  0  0 X^2  0  0  0  0  0  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0
 0  0  0  0  0 X^2  0  0  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 X^2 X^2  0  0 X^2  0  0  0  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0
 0  0  0  0  0  0 X^2  0  0  0  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  0 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0
 0  0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0
 0  0  0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0  0  0  0  0 X^2 X^2  0  0 X^2  0  0 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+65x^36+12x^37+166x^38+60x^39+434x^40+308x^41+618x^42+788x^43+1283x^44+2008x^45+1400x^46+1880x^47+1809x^48+1928x^49+1114x^50+808x^51+768x^52+348x^53+258x^54+44x^55+192x^56+4x^57+26x^58+4x^59+43x^60+12x^64+2x^66+1x^68

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 8.81 seconds.