The generator matrix

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

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+170x^38+592x^39+1014x^40+1566x^41+1785x^42+2768x^43+2966x^44+3760x^45+3483x^46+3856x^47+3009x^48+2806x^49+1887x^50+1450x^51+762x^52+500x^53+219x^54+100x^55+52x^56+8x^57+8x^58+2x^59+4x^60

The gray image is a code over GF(2) with n=184, k=15 and d=76.
This code was found by Heurico 1.13 in 10.3 seconds.