The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+380x^42+512x^44+492x^46+285x^48+208x^50+120x^52+28x^54+10x^56+12x^58

The gray image is a code over GF(2) with n=184, k=11 and d=84.
This code was found by Heurico 1.16 in 42 seconds.