The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+94x^40+768x^41+2243x^42+5766x^43+11188x^44+20060x^45+28960x^46+40378x^47+41829x^48+41980x^49+29545x^50+20224x^51+10746x^52+5062x^53+2111x^54+818x^55+226x^56+88x^57+16x^58+14x^59+10x^60+10x^61+5x^62+2x^64

The gray image is a code over GF(2) with n=384, k=18 and d=160.
This code was found by Heurico 1.16 in 388 seconds.