The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+98x^46+144x^47+101x^48+68x^49+37x^50+40x^51+10x^52+4x^53+8x^54+1x^66

The gray image is a code over GF(2) with n=384, k=9 and d=184.
This code was found by Heurico 1.16 in 0.078 seconds.