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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+86x^36+124x^37+246x^38+332x^39+384x^40+510x^41+615x^42+1128x^43+1552x^44+2022x^45+2377x^46+1994x^47+1655x^48+1138x^49+608x^50+522x^51+328x^52+262x^53+224x^54+114x^55+88x^56+40x^57+25x^58+6x^59+2x^60+1x^78

The gray image is a linear code over GF(2) with n=184, k=14 and d=72.
This code was found by Heurico 1.16 in 12.6 seconds.