The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+384x^46+252x^48+384x^50+3x^64

The gray image is a code over GF(2) with n=384, k=10 and d=184.
This code was found by Heurico 1.16 in 0.047 seconds.