The generator matrix

 1  0  0  0  0  1  1  1  0  1 X^2  1  1 X^2  0  1  1  X X^2+X  1  1  1 X^2+X X^2  X  1  0  1  0  1 X^2+X  1  1  X  1 X^2+X  1  1  1  0 X^2  0  1  1  1  1
 0  1  0  0  0  0  0 X^2 X^2  1  1  1  1  1  1  1  0 X^2  0 X^2+1 X^2+X X^2+X  1 X^2+X  1 X^2+X+1  1 X^2+X X^2 X^2+X  1 X^2+X+1 X^2+X  1 X^2+X+1  1 X^2+X+1  1 X^2  X  X  0 X^2+X  1 X^2  0
 0  0  1  0  0 X^2  1 X^2+1  1  0  1 X+1 X^2+X+1 X^2+X+1 X^2 X^2+X  X  X  1  0 X^2+X+1  1 X^2  1 X^2  1  1 X^2+X  X X^2+X+1 X^2+1  X  0  X X^2 X^2  X  X  0  1  1  1  0  1 X+1  0
 0  0  0  1  0 X^2+1  1  0  1 X^2 X^2+1 X+1  X X^2+X X^2+X+1  1 X^2  1  1  1 X+1 X^2  0 X^2+X X^2+X+1 X+1 X+1 X^2  1 X^2+X X+1  0 X^2+X+1 X+1  X X^2 X^2+X X^2+X X^2+X X^2+X+1  0  X X^2+X X+1 X^2+1 X^2
 0  0  0  0  1  1 X^2  1  1 X^2+1 X^2  1  X X^2+X+1 X^2+1  0 X+1  1  X X^2+X+1 X+1  0 X^2+X+1 X^2+X+1  0  X X^2+X+1  X X^2+X+1 X^2+1 X^2+X X+1 X^2  0  X  0 X^2+X X+1 X^2 X^2 X^2+X X+1  1  1 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+147x^38+566x^39+1107x^40+1490x^41+2032x^42+2528x^43+3042x^44+3624x^45+3628x^46+3518x^47+3219x^48+2800x^49+2116x^50+1310x^51+850x^52+424x^53+189x^54+108x^55+37x^56+10x^57+16x^58+2x^59+4x^65

The gray image is a linear code over GF(2) with n=184, k=15 and d=76.
This code was found by Heurico 1.13 in 8.75 seconds.