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

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+68x^36+68x^37+145x^38+300x^39+542x^40+566x^41+1189x^42+880x^43+1917x^44+1246x^45+2447x^46+1236x^47+2105x^48+936x^49+1128x^50+604x^51+454x^52+236x^53+167x^54+48x^55+24x^56+18x^57+34x^58+4x^59+9x^60+2x^61+9x^62+1x^74

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 9.05 seconds.