The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+22x^44+72x^45+78x^46+48x^47+24x^48+8x^49+1x^56+1x^58+1x^66

The gray image is a linear code over GF(2) with n=184, k=8 and d=88.
This code was found by Heurico 1.16 in 0.0328 seconds.