The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+109x^38+244x^39+502x^40+700x^41+954x^42+1328x^43+1716x^44+1752x^45+1761x^46+1896x^47+1644x^48+1440x^49+878x^50+592x^51+430x^52+200x^53+121x^54+36x^55+52x^56+4x^57+16x^58+6x^60+1x^62+1x^64

The gray image is a code over GF(2) with n=184, k=14 and d=76.
This code was found by Heurico 1.16 in 12.9 seconds.