The generator matrix

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

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+298x^46+112x^47+275x^48+64x^49+220x^50+16x^51+26x^52+10x^54+1x^60+1x^76

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 0.172 seconds.