The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X^2  X  X  X X^2  X  X  0 X^2 X^2  1  X  1  1 X^2  X  1  1  X  X  X  X  1
 0  X  0  0  0  0  0  0  0  X X^2+X  X  X X^2+X  X X^2  X X^2+X X^2 X^2+X  X X^2  0  0  X  X X^2+X X^2+X X^2 X^2+X  0  X X^2  0  0 X^2  0  0  X X^2  0  X X^2 X^2+X  0  0  0
 0  0  X  0  0  0  X X^2+X  X  0  0  0  X  X X^2+X X^2  X  0 X^2+X X^2  X  X  X  X  X X^2 X^2+X  X  X  X X^2+X X^2 X^2  X X^2 X^2  0  X X^2+X X^2+X  0 X^2 X^2  0 X^2+X  0  0
 0  0  0  X  0  X  X X^2+X  0  X  X X^2  0 X^2 X^2+X  X X^2+X X^2+X X^2+X  0  X  0  X X^2+X X^2 X^2  0 X^2+X X^2 X^2+X X^2+X X^2  X  X  X X^2+X X^2+X  0 X^2+X X^2+X  X X^2+X  X X^2+X  0  0  0
 0  0  0  0  X  X  0 X^2+X  X X^2 X^2+X X^2+X  0 X^2+X  X X^2  0  0 X^2 X^2 X^2+X X^2  0 X^2  0 X^2+X X^2+X X^2  X X^2  X X^2 X^2+X X^2+X  X X^2+X  X X^2+X  X  0 X^2+X  X  0  0 X^2  0  0
 0  0  0  0  0 X^2  0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0
 0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  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 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  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+62x^36+62x^37+194x^38+268x^39+382x^40+516x^41+712x^42+874x^43+1229x^44+1484x^45+1480x^46+1814x^47+1556x^48+1430x^49+1284x^50+922x^51+698x^52+524x^53+350x^54+198x^55+138x^56+78x^57+68x^58+20x^59+26x^60+2x^61+8x^62+3x^64+1x^76

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 12.7 seconds.