The generator matrix

 1  0  1  1  1  2  1  1  0  0  1  1  1  0  1  1  1  0  1  1  0  1  2  1  1  1 X+2  1  1  1  X  0  1  1  1  1  X  X  1  1  X  1  X  0  X X+2
 0  1  1  0  1  1  2 X+1  1  1  2 X+3  2  1  3 X+1  2  1  X X+1  1  0  1  1 X+2 X+3  1 X+1  3  0  1  1 X+1 X+3  X X+3  1  1  3 X+3  2 X+1 X+2  X  1  1
 0  0  X  0  0  0  0  2 X+2  X X+2 X+2 X+2  2  0  X X+2  X  X  0  0  2  X X+2 X+2  X  2  2  2 X+2  0  X  2  2  2  2 X+2  X  2  X X+2  2  2 X+2  X  0
 0  0  0  X  0  0  2  2  2  2  0  2  2 X+2  X  X  X X+2  X X+2  X X+2 X+2 X+2  2  2  0  2  X  X  0  X  X  2  0  0  0  0  0 X+2  0  X  2  X  2 X+2
 0  0  0  0  X X+2 X+2  2  X  0  0 X+2  X  X  X  X  2  0 X+2  0  2 X+2  2  2  2  0  2  0  0 X+2 X+2 X+2  X  X  2  0  X X+2  0  X X+2  2  X X+2  2  2

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+215x^40+152x^41+304x^42+236x^43+575x^44+436x^45+514x^46+284x^47+435x^48+304x^49+292x^50+84x^51+119x^52+36x^53+66x^54+4x^55+28x^56+8x^58+2x^60+1x^64

The gray image is a code over GF(2) with n=184, k=12 and d=80.
This code was found by Heurico 1.16 in 0.87 seconds.