The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+124x^39+133x^40+632x^41+327x^42+1018x^43+340x^44+1258x^45+459x^46+1440x^47+425x^48+1002x^49+204x^50+452x^51+98x^52+174x^53+28x^54+36x^55+25x^56+6x^57+5x^58+2x^59+2x^60+1x^62

The gray image is a linear code over GF(2) with n=184, k=13 and d=78.
This code was found by Heurico 1.16 in 3.45 seconds.