The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+72x^39+290x^40+412x^41+494x^42+722x^43+845x^44+890x^45+922x^46+858x^47+777x^48+658x^49+494x^50+358x^51+178x^52+78x^53+62x^54+38x^55+20x^56+10x^57+12x^58+1x^60

The gray image is a code over GF(2) with n=184, k=13 and d=78.
This code was found by Heurico 1.16 in 2.72 seconds.