The generator matrix

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

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+74x^39+299x^40+330x^41+736x^42+634x^43+740x^44+780x^45+1041x^46+780x^47+870x^48+598x^49+597x^50+274x^51+255x^52+80x^53+51x^54+22x^55+10x^56+4x^57+7x^58+8x^59+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 2.23 seconds.