The generator matrix

 1  0  1  1  1  0  1 X^2+X  1  1 X^2+X  1  1 X^2  1  1  1 X^2  X  1  X  X  1  1  1 X^2+X  1  1  X  X  1  1  X X^2 X^2  1 X^2+X  1 X^2+X  1 X^2  1  X  X  0  1
 0  1  1  0 X^2+X+1  1  X  1 X^2+X+1  X  1  1 X^2  1 X+1  0 X^2+X+1  1  1 X^2+X  1  1  X X^2+1  1  1 X^2+1 X^2+X+1  1  1 X^2+X  X  1  1  1 X^2  1  0  1  X  1 X^2+X  1  X  0  X
 0  0  X  0 X^2+X  X  0  X  0  X X^2  0  X  0 X^2 X^2+X  X  X X^2+X X^2  0  0  X X^2+X X^2  X  X  0 X^2+X X^2 X^2+X X^2+X X^2 X^2+X  X X^2 X^2+X X^2 X^2+X X^2+X  X X^2 X^2  X  X X^2
 0  0  0  X  0  X  X  X X^2+X  0 X^2 X^2+X X^2  X X^2  X X^2+X X^2 X^2  0 X^2+X X^2 X^2+X X^2+X X^2 X^2  X  0  0  0  X X^2  X X^2+X  X X^2+X X^2  0 X^2+X  0 X^2+X  X  X  X X^2+X X^2
 0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0 X^2 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 41.

Homogenous weight enumerator: w(x)=1x^0+138x^41+171x^42+204x^43+262x^44+170x^45+232x^46+236x^47+189x^48+160x^49+112x^50+62x^51+33x^52+34x^53+12x^54+8x^55+10x^56+10x^57+1x^58+2x^59+1x^68

The gray image is a linear code over GF(2) with n=184, k=11 and d=82.
This code was found by Heurico 1.16 in 0.628 seconds.