The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+60x^38+130x^39+248x^40+382x^41+439x^42+726x^43+842x^44+844x^45+984x^46+844x^47+754x^48+652x^49+486x^50+368x^51+180x^52+92x^53+68x^54+42x^55+20x^56+14x^57+11x^58+2x^59+2x^60+1x^64

The gray image is a linear code over GF(2) with n=184, k=13 and d=76.
This code was found by Heurico 1.16 in 2.63 seconds.