The generator matrix

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

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+338x^40+332x^41+754x^42+560x^43+1014x^44+736x^45+1078x^46+572x^47+883x^48+540x^49+606x^50+248x^51+354x^52+56x^53+58x^54+28x^55+34x^56

The gray image is a code over GF(2) with n=184, k=13 and d=80.
This code was found by Heurico 1.13 in 0.779 seconds.