The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^48+8x^50+2x^52+4x^54

The gray image is a code over GF(2) with n=384, k=6 and d=192.
This code was found by Heurico 1.16 in 0.047 seconds.