The generator matrix

 1  0  0  0  1  1  1  0  1  X X^2  1  0  1  1 X^2+X  1  1  X  1  1  1 X^2+X  0  1 X^2  X  0  1  1  1  1  1  1 X^2+X X^2  X X^2  1  0  1 X^2+X  X  X  0 X^2
 0  1  0  0  0  1  1  1 X^2 X^2+X  1  1  1  X X^2+1  0 X+1  0 X^2 X^2+X+1 X^2+X X^2+X+1  1  1  1  1  X  1 X^2  1  X X^2+X+1  X X^2 X^2+X  1  1  1 X^2+1  X X^2+1  X  1  1  1 X^2
 0  0  1  0  1  1 X^2 X^2+1 X^2+X+1  1 X^2+X  X X+1  0 X^2+X+1  1 X^2+X+1  1  1 X^2  1 X^2+1 X+1 X+1  X  X X^2  1 X^2 X^2 X^2  X X^2+X  1  1 X^2+X+1 X^2+X+1 X^2  0  1  X X^2+X  1 X^2+X X^2+X  1
 0  0  0  1  1  0 X^2+1  1 X^2  1 X^2+1  X X^2 X+1 X^2+X+1  0  1 X^2+X X^2+X+1  0  1  X X^2+1 X^2+X X+1  X  1 X^2+X+1  0  X  X  1 X^2+X+1 X^2+X X^2 X^2+X  0 X^2+1 X^2+X+1 X^2 X^2  1 X^2+1 X^2+X+1  0  X
 0  0  0  0  X  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2  X  X X^2+X X^2+X X^2+X  X X^2+X X^2+X  X  X X^2+X  X X^2  X X^2 X^2+X  X X^2+X  X  X  X
 0  0  0  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2  0 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+259x^38+492x^39+1105x^40+1296x^41+2206x^42+2384x^43+3197x^44+3452x^45+3776x^46+3552x^47+3486x^48+2492x^49+2093x^50+1248x^51+925x^52+372x^53+288x^54+68x^55+52x^56+4x^57+17x^58+2x^60+1x^62

The gray image is a linear code over GF(2) with n=184, k=15 and d=76.
This code was found by Heurico 1.16 in 26.6 seconds.