The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+40x^42+300x^43+129x^44+772x^45+289x^46+1048x^47+284x^48+808x^49+109x^50+252x^51+29x^52+20x^53+5x^54+1x^56+3x^58+2x^60+2x^62+2x^64

The gray image is a code over GF(2) with n=376, k=12 and d=168.
This code was found by Heurico 1.16 in 0.187 seconds.