The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  X  X X+2  1  1  1  X  1 X+2  1  1  1  1  2  X  1  X  X  1  0  1  2  X  2  1  1  0 X+2  1  1  2  0  1  1
 0  1  0  0  2  1  3  1 X+2  X X+3  3  0  1  1  2 X+3  0  1  3  1 X+1 X+2  1 X+2  1  1  2  1  X X+2  1  2  1  2  1 X+1  3 X+2  0 X+2  X  1  1  X  0
 0  0  1  0  3  1  2  3  0  3 X+1  X  1  2 X+1 X+3 X+2  X X+2 X+1  1  0  3 X+1  2 X+3  X X+2 X+1  1 X+3  1  2 X+2 X+2  X X+3  1  1  1 X+1  2  1  2  X  2
 0  0  0  1  1  2  3  3 X+1  0  3  X  1 X+3 X+2  0 X+1  2  0 X+3  X  2 X+3  X  1  3  1  3 X+1 X+1 X+2 X+1 X+2  X  1  0 X+1 X+2  0  2 X+1  X  2 X+3  X  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+34x^40+268x^41+372x^42+338x^43+518x^44+418x^45+486x^46+344x^47+361x^48+280x^49+257x^50+186x^51+90x^52+58x^53+44x^54+28x^55+12x^56+1x^58

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 0.423 seconds.